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Bureau of Mines Information Circular/1988 



MULSIM/BM-A Structural Analysis 
Computer Program for Mine Design 

By Les A. Beckett and Rudy S. Madrid 




UNITED STATES DEPARTMENT OF THE INTERIOR 




Information Circular 9168 

ft 



MULSIM/BM-A Structural Analysis 
Computer Program for Mine Design 

By Les A. Beckett and Rudy S. Madrid 



UNITED STATES DEPARTMENT OF THE INTERIOR 
Donald Paul Hodel, Secretary 

BUREAU OF MINES 

David S. Brown, Acting Director 



'APR 5 1988 T\) 



COPY. 
CIP 



Library of Congress Cataloging in Publication Data: 









^ y 






Beckett, Les A. 

MULSIM/BM: a structural analysis computer program for mine design. 



(Information circular / United States Department of the Interior, Bureau of Mines ; 9 1 68) 

Bibliography: p. 16-17. 

Supt. of Docs, no.: I 28.27: 9168. 

1. Mining engineering— Computer programs. 2. MULSIM/BM (Computer pro- 
gram) I. Madrid, Rudy S. II. Title. III. Series: Information circular (United States. Bureau 
of Mines); 9168. 

TN295.U4 [TN292] 622 s [622 '.028 '55369] 87-600293 



CONTENTS 

Page 

Abstract 1 

Introduction . 2 

Features of MULSIM/BM 3 

Material property sets 4 

Inserted— material or gob model - 4 

Theoretical basis 5 

Linear in situ gob modulus 6 

Adjusted gob modulus 7 

Considerations affecting appropriate use 8 

Initial elastic closure 8 

Equivalent elastic modulus for supported openings 8 

Equivalent rock mass modulus 9 

Upper seams overlying gob zones 9 

Modeling large areas 9 

Coarse-mesh blocks 10 

Material model definition 10 

Extraction ratios 10 

Boundary conditions 10 

Gouge material 10 

Seam limitations, sign conventions, and symmetry options 11 

Maximum number of seams 11 

Location of seam origins 11 

Sign conventions , . 12 

Symmetry options 13 

Companion mesh generator program 14 

Developing a plan of analysis 14 

References 16 

Appendix A. — MULSIM/BM user's guide 18 

Appendix B. — MULSIM/BM mesh generator user's guide 25 

Appendix C. — MULSIM/BM structure diagram and program listing 36 

Appendix D. — MULSIM/BM mesh generator structure diagram and program listing.... 184 

Appendix E. — Sample problem input 264 

Appendix F. — Sample problem output 268 

Appendix G. — Adaptation of program code to other computers 293 

Appendix H. — Cyber job control stream to run MULSIM/BM 298 

Appendix I. — Engineering symbols used in this report 301 

ILLUSTRATIONS 

1. Typical mine layout and displacement-discontinuity grid 2 

2. Mesh generator and MULSIM/BM system flowchart 3 

3. Selection of a secant elastic modulus for gob 6 

4. Seam origins lie on the same normal line 11 

5. Sign conventions for displacements and stresses 12 

6. Symmetry options 13 

7. Example mining layout 15 

8. MULSIM/BM grids for the example layout 15 

C-l . MULSIM/BM structure diagram , 36 

D-l. MULSIM/BM mesh generator structure diagram 185 





UNIT OF MEASURE 


ABBREVIATIONS USED 


IN 


THIS REPORT 


With Factors 


for Conversion 


to 


Units 


of 


th 


e International System of Units (SI) 


ft 


foot 










in 2 




square inch 


GPa 


gigapascal 










lb 




pound 


h 


hour 










lb/in 3 




pound per cubic inch 


in 


inch 










pet 




percent 


in/in 


inch per inch 










psi 




pound per square inch 



Abbreviation 


Unit of measure 


To convert to — 


Multiply by — 


ft 


foot 


meters 


0.3048 (exactly) 


in 


inch 


centimeters 


2.54 (exactly) 


psi 


pounds per square inch 


kilopascals 


6.894757 



MULSIM/BM— A STRUCTURAL ANALYSIS COMPUTER 
PROGRAM FOR MINE DESIGN 

By Les A. Beckett and Rudy S. Madrid 



ABSTRACT 

The Bureau of Mines has developed MULSIM/BM, an improved computer pro- 
gram using the boundary-element approach for geomechanical analysis of 
mine plans in single or multiple coal seams. This Information Circular 
presents the improved features of the MULSIM/BM program. The four major 
improvements are the following: (1) Ability to specify up to 26 mate- 
rial property sets. (2) A new material model capability for gob and 
inserted materials such as packwalls or cribs. (3) Ability to model a 
large area with a grid of undivided blocks and to subdivide only a spec- 
ified fine-mesh portion of these blocks into elements. (4) Specifica- 
tion of extraction ratios for the undivided blocks. In addition, an 
interactive graphics mesh generator program was written to accompany 
MULSIM/BM. A complete user's guide and program listings are included 
within the appendixes. The MULSIM/BM and mesh generator programs are 
available on tape from the National Technical Information Service. 3 

Mining engineer, Denver Research Center, Bureau of Mines, Denver, CO. 

2 Systems engineer, Electronic Data Systems Corp. (now analyst III, Vanguard Tech- 
nologies Corp., Denver, CO). 

^Accession number PB 88-129465. The nine-track computer tape is written at the 
density of 1,600 bits per inch using unlabeled tape format. The programs are written 
in ASCII code as 4,960 fixed length records, or card images, with 80 characters per 
record. 



INTRODUCTION 



One of the advances occurring in min- 
ing technology is the increasing use of 
computerized mine structural analysis 
methods to analyze the stability of 
underground coal mines. Throughout the 
process of coal extraction from an under- 
ground mine, the stresses formerly car- 
ried by the newly extracted coal are 
redistributed to unmined areas, to gob 
zones, or to artificial structural ele- 
ments such as packwalls or cribs. This 
redistribution of stresses can be espe- 
cially complicated when multiple-seam 
raining interactions occur. Mine struc- 
tural analysis methods can calculate the 
redistribution of overburden stresses 
and the resulting loadings on any given 
portion of the underground mine, thus 
enabling mining engineers to design coal 
mines that are both safer and yet less 
wasteful of coal resources. 

The Bureau of Mines has conducted re- 
search into the application and improve- 
ment of state-of-the-art computerized 
mine structural analysis methods. Theo- 
retical approaches used include finite- 
element methods, boundary-element meth- 
ods, and discrete block methods. A 
subvariation of the boundary-element 
method called the three-dimensional dis- 
placement-discontinuity approach was 
originally incorporated in a mine struc- 
tural analysis computer program by Crouch 
and Fairhurst (3). In this approach, 
the mine plan for each seam is specified 
as a grid in plan view, as illustrated 
in figure 1; the program then calculates 
the resulting three-dimensional stresses 
and ground deformations that result from 
mining. Sinha (15) expanded upon the 
theory of the approach in three computer 
programs, one of which, MULSIM, was 
designed to analyze situations of par- 
allel multiple coal seams. During the 
1984-85 period, the Bureau upgraded and 
completely restructured the MULSIM pro- 
gram into the MULSIM/BM program. 

^Underlined numbers in parentheses re- 
fer to items in the list of reference? 
preceding the appendixes. 



The new MULSIM/BM computer program pro- 
vides the capability to analyze many coal 
mining situations and to determine the 
effects of the three-dimensional stress 
redistributions caused by mining. The 
program can analyze problems involving 
one or more coal seams and can incorpo- 
rate the effects of previous mining in a 
large surrounding area, while focusing 
upon an area of particular interest. 
Thus, it can be used to analyze the wide- 
scale effects of load transfers result- 
ing from previous mining upon the stress 
levels experienced by particular coal 
pillars, by unmined coal blocks, or by 




Fine mesh 
Displocement-discontinuity grid 



Element 



FIGURE 1.— Typical mine layout and displacement- 
discontinuity grid. 



artificial structural elements such as 
packwalls, backfill, cribs, or steel 
frames. Recent Bureau work has shown 
applications of a preliminary version 
(9) and of the final version (1_) of 
MULSIM/BM. 

Some of the uses envisioned for the 
MULSIM/BM computer program are as fol- 
lows: The program can be used to deter- 
mine the safe size for coal pillars or 
artificial supports such as packwalls, 
backfill, cribs, or steel supports used 
for structural stability. It can be used 
to predict the magnitude of potential 
ground-control problems caused by stress 
concentrations transferred from adjacent 
mined seams. If the mine plan under con- 
sideration is based upon a similar oper- 
ation elsewhere, or if the in situ stress 
field or material property conditions are 
not fully known, the program can conve- 
niently analyze the effects of a differ- 
ent seam dip, different geomechanical 
properties, and/or a different in situ 
stress field. Such analyses can assist 
the mine operator to maximize coal 
extraction without compromising overall 
mine safety. 

The program is best suited to sit- 
uations where strata properties are 
relatively uniform and where localized 
geological discontinuities such as rolls, 
kettlebottoms, or faults do not strongly 
affect the problem. If local disconti- 
nuities or property variations are sig- 
nificant, then a finite-element analysis 
may be a better approach. 

This Information Circular documents 
the improvements incorporated in the 
MULSIM/BM program and provides a complete 
user's guide in the appendixes. It also 
describes a companion mesh generator 
program for use with MULSIM/BM (fig. 
2). For detailed explanation of the 




KEY 
(32)— Unit number 
n — Seam number 

FIGURE 2.— Mesh generator and MULSIM/BM system flowchart. 



mathematical theories incorporated within 
MULSIM/BM, the reader is referred to the 
previous literature (3-4, 11, 13-15). 



FEATURES OF MULSIM/BM 



The following capabilities of the 
MULSIM/BM program were carried over from 
the original MULSIM program (15) : 
MULSIM/BM is designed for analysis of 
mine designs in single coal seams or in 
parallel multiple coal seams. The seams 



can dip at any angle and lie at any 
desired orientation to the virgin princi- 
pal stress field. As shown in figure 1, 
the current mining situation is specified 
to the program in terms of a grid of 
elements and blocks; the program then 



calculates the resulting seam stresses 
and closures for each element and block. 
By specification of "off-seam planes," 
stresses and rock mass deformations are 
also available for desired points in the 
surrounding rock mass. 

The rock mass itself is assumed to be a 
homogeneous, isotropic, infinite elastic 
body. Thus, since the effect of the 
surface is omitted, the program is only 
applicable to problems in which the seam 
depth is greater than the excavation 
width being analyzed ( 15 , p. 14). All 
excavations are assumed to appear instan- 
taneously in a single time step. 

New features of MULSIM/BM include 

1. Ability to specify up to 26 differ- 
ent material property sets. 

2. A new material model capability for 
inserted materials such as gob, pack- 
walls, or cribs. The inserted mate- 
rial model (or gob model) uses a linear 
stress-strain relationship with zero 
stress at zero seam closure. 

3. Ability to model a large raining 
area with a grid of blocks and to sub- 
divide a desired fine-mesh portion of 
these blocks into elements for greater 
accuracy. 

A. Ability to specify extraction ra- 
tios for the undivided or coarse-mesh 
blocks. 

MATERIAL PROPERTY SETS 

MULSIM/BM allows definition of as many 
as 26 different elastic material property 
sets. A letter of the alphabet is auto- 
matically associated with each of the 
property sets as it is defined. Any of 
these materials, once defined, can sub- 
sequently be used in any portion of any 
seam plane defined in the model. Each 
coarse-mesh block and each fine-mesh ele- 
ment defined for an analysis is assigned 
the desired material property simply by 
specifying the alphabetic designation as 
an input for that block or element. This 
capability is a considerable improvement 
over the original MULSIM program, in 
which the analysis was limited to at most 
one elastic material property set per 
seam. 



To briefly indicate the many possibil- 
ities opened up by this capability, con- 
sider that in a particular analysis the 
mining engineer might want to define only 
six material property sets to include 
regions of unmined coal, regions of weak- 
ened coal in high-stress areas, gob 
zones, and possibly artifically supported 
areas such as backfilled openings, pack- 
walls, and openings supported by cribs. 
Each of these six materials could be used 
within one or more seam levels. Clearly 
a very detailed analysis could be con- 
ducted using only six materials; and it 
is therefore unlikely that any analysis 
would be severely limited by the con- 
straint of having no more than 26 mate- 
rial property sets available. 

The input data file is arranged so that 
a printout of the letter codes for the 
various blocks and elements corresponds 
visually to the layout of the grid. This 
feature makes it very easy to check new 
data files visually for errors in the 
layout. It is equally simple to deter- 
mine the mine layout represented in an 
old or unfamiliar data file. 

INSERTED-MATERIAL OR GOB MODEL 

The material behavior capability used 
to represent fabricated structural com- 
ponents such as gob, packwalls, cribs, 
steel supports, or backfill is referred 
to as the inserted-material model. In 
contrast to the original seam materials, 
which are in equilibrium with the virgin 
overburden stresses at zero seam clo- 
sure (zero roof-to-floor convergence), 
inserted materials do not support load 
until some degree of seam closure occurs. 

Addition of this capability consid- 
erably improved the usefulness of the 
computer program as applied to practical 
mine planning. The effect of large gob 
zones upon the overall load transfer 
across one or more mined seams can now 
conveniently be included in an analysis. 
Likewise the effects of adding artificial 
support within openings, such as pack- 
walls or cribs, can be analyzed; and the 
expected loadings upon these supports can 
be analyzed. 

MULSIM/BM requires the program user to 
input a linear modulus for a gob material 



or other inserted material. This modulus 
is used to calculate the stress carried 
by the material as seam closure occurs. 
While this linear modulus may be quite 
accurate for some materials, such as 
cribs, for other materials, such as gob, 
it is only an approximation. 

The following subsections provide a 
detailed discussion of the matters to be 
considered in selecting an appropriate 
linear modulus input value for gob. In 
synopsis, the linear in situ elastic mod- 
ulus is best viewed as a secant modulus, 
selected to intercept the true stress- 
strain curve for gob at a stress level 
equal to the virgin stress normal to the 
seam. Because gob stress-strain behavior 
in situ is not well defined and is very 
difficult to measure, selection of an 
appropriate linear in situ elastic mod- 
ulus value calls for exercise of engi- 
neering judgment. In addition, once an 
in situ elastic gob modulus is selected, 
the elastic gob modulus input to the 
computer program must be adjusted to 
allow for the fact that the program 
assumes that the gob zone height is only 
equal to the seam thickness. Since the 
true in situ gob zone height is neces- 
sarily greater than the seam thickness, 
an adjusted modulus must be used as input 
to enable the program to calculate the 
correct gob zone closure values. 

The following discussion summarizes 
some of the mathematical theory rele- 
vant to gob modulus selection and also 
points out some of the considerations 
that affect the interpretation of results 
computed using a gob material model. 



load-bearing capacity of the gob in- 
creases with compaction, in this mathe- 
matical representation, towards an asymp- 
totic limit that represents the volume of 
the original uncaved rock. The resulting 
stress-strain relationship is given by 
Mozumdar (11) as follows: 



p = k\w / (m - w) 

where p = gob resistence, psi, 
k' = a material constant, 



(1) 



and 



m = extracted seam height, in, 

u = amount of gob zone main-roof- 
to-floor convergence, in. 



Salamon (14) gave a value of 133 psi for 
the constant, k', as a representative 
value for European coal measure rocks. 

Finite-element analyses conducted by 
the Bureau using this equation to repre- 
sent gob behavior have shown that struc- 
tural analysis using this theory can give 
useful results for gob behavior. The 
value of k' given by Salamon is, however, 
thought to be too low for Western U.S. 
conditions, and recent Bureau analysis 
(1_, 9) has pointed to a higher value, 
approximately 1,700 psi, corresponding to 
use of a secant Young's modulus of 20,000 
psi. 

To convert equation 1 into a form using 
stresses and strains, substitute o"nl f° r 
p, and divide both the numerator and the 
denominator by the gob zone height, g, 
which results in the following equation: 



Theoretical Basis 



a NL = k' e g /(e max - e g ), 



(2) 



A mathematical theoretical model of gob where 
zone behavior was first developed by 
Salamon (1_4_). Mozumdar (1_1_) demonstrated 
the application of this theoretical model 
in mine structural analysis using the 
finite-element method. 

The Salamon model of gob behavior 
is that of a rubblized mass, formed by 
caving of the immediate roof layers 
overlying an excavation, that bears no and 
load until it is compacted by the weight 
of the main, uncaved, rock mass. The 



e q = overall normal strain in 

the gob zone, between the 
main roof and the floor, 



: max = maximum possible overall 
normal strain in the gob 
zone, between the main 
roof and the floor, 

Onl = stress carried by the gob 
zone (nonlinear equation) 



Linear In Situ Gob Modulus 

MULSIM/BM requires the program user to 
input a linear approximation to the non- 
linear curve of equations 1 and 2. This 
linear approximation corresponds to use 
of a secant elastic (Young's) modulus 
for the in situ stress-strain response 
of a gob zone. The linear approximation 
was chosen to simplify program execu- 
tion with resulting savings in execution 
time and also in computer core storage 
requirements. 

Figure 3 shows the recommended method 
of selecting a secant modulus to corre- 
spond to the Salamon curve as applied to 
a particular virgin overburden stress 
level. In figure 3, 0q is the virgin 
overburden stress level and E max is the 
amount of compressive strain that would 
correspond to a gob-zone convergence 
equal to the extracted seam height, m. 
eo is the strain corresponding to an 



A 



-D 
O 









cr„ 



Eq--CT /€o 



CO 

to 



Q. 



o 
a 




Og = Eg €q 



€■0 ^max 

COMPRESSIVE STRAIN (€), arbitrary scale 



<!> 

k' 

eg 

£max 



Nonlinear curve for in 
situ gob behavior 

Stress sustoined by gob 
(nonlinear equation) 

Gob material constant 

Strain sustained by gob 

Moximum possible gob 
strain 

Equilibrium point 
for gob 



-(2)- Linear approximation 

O~ Overburden stress 

€0 Equilibrium strain 
for gob 

0~g Stress sustained by 
gob (linear equation) 

Eg Secant elastic gob mod- 
ulus (linear modulus) 



amount of gob convergence, w, that just 
enables the gob to sustain the overburden 
stress, Oq. The resulting secant in situ 
gob modulus, E q , is then given by 



Eg = o /e Q . 



(3) 



FIGURE 3.— Selection of a secant elastic modulus for gob. 



When using this method, the extracted 
seam height, m, must be taken as equal to 
the full seam thickness, t, that is input 
to the computer program, since the pro- 
gram assumes that full seam extraction 
occurs. 

In the implementation of this linear 
gob model in MULSIM/BM, the program 
begins with a working assumption that all 
elements of the grid are initially at 
equilibrium with the virgin overburden 
stress field. While for an original seam 
material (coal) this working assumption 
corresponds to a condition of zero roof- 
to-floor closure across the seam, for 
a gob zone it corresponds to an initial 
closure, c, equal to the product of eo 
multiplied by the gob zone height, g. 
This initial working assumption is nor- 
mally considerably different from the 
final solution for a particular mining 
situation. 

In the process of iteratively solving 
for a balanced set of closures, the pro- 
gram normally ends up reducing the clo- 
sures of gob elements, thus reducing the 
calculated stress carried by those ele- 
ments, and increasing the closures of 
coal elements near the gob zones, thus 
increasing the stress carried by those 
elements. In the coal elements, this 
process results in calculation of stress 
abutments. In the gob, this process 
results in calculation of stress-relieved 
areas near adjacent unmined coal pillars 
or blocks. 

In calculating the precise stresses 
carried by the gob elements or blocks, 
the program uses the secant modulus; 
and in the destressed gob regions the 
stresses calculated by the secant modulus 
are slightly higher than the stresses 
that would be calculated by use of the 
nonlinear equations 1 and 2. The total 
stress levels calculated by either method 
are, however, sufficiently low compared 
with the overburden stresses that the 
resulting disparity should in most cases 



have little impact on the stresses calcu- 
lated for other areas of an analysis. 

Gob zones are rarely located in such a 
way that the calculated equilibrium 
stresses would be greater than the over- 
burden stress. One plausible way for 
such a condition to occur would be for 
a gob zone to be located within the 
influence zone of a remnant pillar in an 
adjacent seam, which might then cause a 
considerable stress concentration. Even 
so, such a condition would rarely cause 
the calculated loads in a gob zone to 
exceed the overburden stress unless there 
were no stiff er load-bearing structures, 
such as coal pillars or unmined coal 
blocks, nearby. Because the focus of 
analytical interest is usually directed 
towards areas that contain working faces, 
entries, coal pillars, and the like, the 
conditions that might cause gob stresses 
greater than 0*0 were judged unlikely to 
be of interest; and therefore no provi- 
sion was made in MULSIM/BM to track the 
stiffer gob behavior in the region of 
stresses greater than oq. 

Recent Bureau analyses have used the 
MULSIM/BM gob material model successfully 
to analyze the stress transfers around 
longwall panel gob zones (1_, $0. These 
analyses have used an assumed in situ 
elastic gob modulus of 20,000 psi, a 
number that lies within the middle of 
a range of 1,000 to 47,000 psi reported 
by Peng ( 12 , p. 222) for rubblized rock 
material or gob. 

Adjusted Gob Modulus 

Reason for Adjustment ( 1_) 

The load transfers away from a gob zone 
can be adequately calculated by the pro- 
gram provided that a properly adjusted 
gob modulus is used. The total closure 
of the gob zone corresponds to the flex- 
ing of the main rock mass. This rock 
mass response to mining determines the 
amount and the lateral extent of the load 
transfer. A complication arises, now- 
ever, because the program considers all 
elements in the grid for a particular 
seam to have the height of the original 
seam thickness. In reality, of course, 
the height of a gob zone is higher: 



typically, about three to four times the 
seam height, depending on the bulking 
factor of the immediate roof that caves 
to fill the excavation. The resulting 
discontinuity in height does not per se 
cause great difficulties, since an under- 
lying assumption of the program is that 
the element thicknesses are negligible 
in calculating the response of the rock 
mass. Because of the discrepancy between 
the real gob height and the modeled gob 
height, however, a modified gob modulus 
must be used in order to calculate the 
correct gob-zone closures (1_, 9_) . 

Derivation of Adjusted Gob Modulus 

The derivation of the modified gob mod- 
ulus is straightforward. For any ele- 
ment, the closure, C, is determined by 
the equation (1): 



C = (F/A)/S, 



(4) 



where F = the normal force acting upon 
the element, 

A = the area of the element, 

and S = the area stiffness of the 

element (or, stiffness per 
unit area). 

The area stiffness, S, has units of force 
per cubic inch and is given by the fol- 
lowing equation (1): 



S = M/h, 



(5) 



where M = the elastic modulus that is 
specified as the input to 
the computer program for the 
material type used by that 
element 

and h = the element height used by the 
program (equal to the seam 
thickness, t). 

From equations 4 and 5, calculation of 
the correct element closure requires 
maintaining an area stiffness that corre- 
sponds to the correct area stiffness of 
the in situ area represented by that ele- 
ment. It also follows from equation 5 



that the in situ effective area stiffness 
of a gob zone, S g , can be given by the 
following equation: 



s g - E g/g> 



(6) 



where E g = the effective in situ elastic 
(Young's) modulus of the gob 



and 



g = the in situ gob zone height. 



As noted, the in situ gob zone height 
is always greater than the seam thick- 
ness, t, and typically is three to four 
times greater. MULSIM/BM, however, 
assumes that gob elements also have the 
height of the original seam thickness, t. 
Therefore, in order for the program to 
calculate the correct gob closure, or 
closure between the main roof and the 
floor of the gob zone, it is essential to 
maintain the condition that 



S = S 



9* 



(7) 



Thus, the right hand sides of equations 5 
and 6 must be maintained equal to each 
other: 



M/h = E g /g, 



(8) 



Setting h equal to t and rearranging 
terms in equation 8 gives the following 
equation which should be used to calcu- 
late the adjusted gob modulus that is 
needed as input to the computer program 
(1): 



M = Eg t/g, 



(9) 



where 



and 



Eg = effective in situ elastic 
(Young's) modulus of the 
gob, 

t = the seam thickness as input 
to the program, 

g = the in situ gob zone height. 



Use of a gob modulus adjusted in this 
manner has been shown (J_, _9) to give 
results for the overall load transfers 
that are in reasonable agreement with 
field experience. As a linear approxi- 
mation of the in situ modulus of a gob, 
a number in the range of 1,000 psi to 



47,000 psi is consistent with data re- 
ported by Peng ( 12 , p. 222). Recent 
analyses using MULSIM/BM have used an 
assumed in situ gob modulus of 20,000 psi 
and an adjusted gob modulus of 5,000 psi 

(I. 2>- 

Considerations Affecting Appropriate Use 

The following considerations affect the 
use of the inserted-material model. 

Initial Elastic Closure U_) 

The program does not account for the 
elastic closure that occurs in an open- 
ing before the new material is inserted, 
because all excavations are assumed to 
occur at the same instant; thus, slightly 
more load may be calculated on the 
inserted material than would actually 
occur. For many mining problems, this 
approximation is acceptable. 

For example, if a packwall having an 
elastic modulus of 25,000 psi is inserted 
in a 10-ft seam after 1 in of roof clo- 
sure has occurred, then the additional 
packwall stress calculated by MULSIM/BM 
will be approximately 1/120 times 25,000 
psi, or about 200 psi of additional 
stress. The magnitude of this effect may 
be as much as 5 to 10 pet of the calcu- 
lated stress in a packwall, a crib, or a 
gob zone. If the focus of interest is 
the magnitude of the stress abutment in 
a pillar or a rib side, then this level 
of inaccuracy is negligible and is an 
acceptable tradeoff for the convenient 
calculation of the overall load transfer 
effects. 

Equivalent Elastic Modulus for 
Supported Openings (1_) 

For modeling openings that contain 
structural supporting members, an ad- 
justed elastic modulus should be used. 
For example, consider a 20-ft-wide open- 
ing supported by steel arches whose legs 
occupy 3 in of that width, or 1.25 pet 
of the opening width. This opening is 
best modeled as an inserted material 
whose elastic modulus is 1.25 pet of the 
elastic modulus of the steel in the 
arches. Another example is the modeling 



of packwalls in the gate road system of 
an advancing longwall. If the packwalls 
occupy 40 pet of the cross section of the 
gate road system, then the system can 
be modeled as an inserted material whose 
modulus is 40 pet of the effective elas- 
tic modulus of the packwalls. 

When interpreting the output for an 
element or block treated in this manner, 
one must remember that the load carried 
by the load-bearing member will be aver- 
aged across the entire element or block. 
Thus, the stress output from the program 
for the two example situations will be as 
follows: For the 3-in steel legs occupy- 
ing 1.25 pet of a 20-ft opening width, 
the normal stress printed out for the 
element or block will be only 1.25 pet of 
the actual average normal stress in the 
steel legs. For the packwalls occupying 
40 pet of an opening cross section, the 
normal stress printed out for the element 
or block will be 40 pet of the average 
normal stress in the packwall. 

Equivalent Rock Mass Modulus (J_) 

The program does not account for the 
disruptive effects of caving upon the 
rock mass elastic behavior and upon over- 
lying seams. In reality, as the rock 
mass deflects and descends upon a gob 
zone, nonelastic effects such as cracking 
open of joints occur; and the effective 
modulus of the rock in this region may 
be considerably lowered. This in situ 
situation calls for some engineering 
judgment in the selection of an effective 
rock mass modulus for the program. If 
an approximate overall rock mass rating 
(RMR) can be inferred for the overburden, 
taking into account that the overburden 
above a gob zone will be weakened and 
thus will have a low RMR, then an over- 
all overburden modulus may be estimated 
from the following equation given by 
Bieniawski (2): 



E M = 2 * RMR - 100, 



(10) 



where Em is the overall modulus of defor- 
mation of the rock mass, in gigapascals. 5 
Recent Bureau works have used values of 

5 1 GPa equals 145,040 psi. 



400,000 psi (9) and 384,000 psi (1_) for 
the effective in situ rock mass elastic 
modulus. 

Upper Seams Overlying Gob Zones 

The program cannot accurately calculate 
what would happen to a second seam over- 
lying a gob zone unless the interburden 
is considerably greater than the expected 
caving height (O* Major damage will 
occur to a coal seam overlying a gob zone 
if the interburden distance is less than 
a critical distance of 6.3 times the 
extraction height in the lower seam ( 6_) ; 
and if the interburden distance is less 
than about 3.5 times the lower seam 
extraction height, the upper seam will be 
completely destroyed by caving (6^). 

Therefore, MULSIM/BM should not be used 
if an overlying coal seam is within 3. 5 
seam heights of a lower seam gob zone. 
If the interburden distance is between 
3.5 and 6.3 seam heights, the program 
should be used, if at all, with caution. 
In such a situation, the elastic prop- 
erties of coal elements or blocks that 
overlay the lower seam gob should be 
reduced according to some estimate of the 
amount of in situ softening caused by the 
lower seam extraction. The amount of 
reduction needed would vary from little 
or none for 6.3 seam heights of inter- 
burden to almost 100 pet reduction for 
only 3.5 seam heights of interburden. 

MODELING LARGE AREAS (1_) 

The ability to represent a large area 
is especially useful. In many coal min- 
ing situations, the overburden load 
transfer caused by mining can extend over 
a very wide area; thus, any given portion 
of the mine can potentially be affected 
by extraction at a considerable distance 
in the same or a neighboring seam. 

Nonetheless, the mining engineer often 
wishes to determine the effect of the 
total system upon only one or a few of 
its components, such as a given chain 
pillar or row of pillars. 

MULSIM/BM permits a distinction between 
coarse-mesh blocks (undivided blocks) and 
fine-mesh blocks (divided into 25 ele- 
ments each). The coarse-mesh blocks are 



10 



each assigned a material property; and if 
this is an original seam material (coal), 
an extraction ratio can also be speci- 
fied. Coarse-mesh blocks can also be 
defined as gob or other inserted mate- 
rials, such as backfill or a packwall 
system. The area of interest can be 
included in a fine-mesh area for which 
the resulting overburden load distribu- 
tions are calculated on an eleraent-by- 
element basis. 

Coarse-Mesh Blocks 



By use of coarse-mesh blocks, the 
structural characteristics of the mine 
structure remote from the area of inter- 
est can be accurately represented and the 
resulting effects included in the cal- 
culated results; yet the computer calcu- 
lation time and costs are considerably 
decreased. 

Material Model Definition 

Coarse-mesh blocks may use any of the 
material property sets defined for a par- 
ticular analysis. The appropriate mate- 
rial property set is specified simply by 
providing the property set letter, A 
through Z, as an input associated with 
the particular coarse block. 

Extraction Ratios 

For coarse-mesh blocks that represent 
an original seam material (coal), an 
extraction ratio is specified in addi- 
tion to the material property set assign- 
ment. This feature allows an analysis 
to include the effects of previous or 
current mining activity adjacent to an 
area of interest without defining all the 
details of the adjacent raining layout. 
The program internally reduces the stiff- 
ness of a partially extracted coarse-mesh 
block in accordance with the extraction 
ratio. 

The extraction-ratio feature is appro- 
priate only for mining regions where no 
roof caving has occurred. If roof caving 
has occurred in a mined-out region, then 
this region should be modeled using the 
gob material model. 



Boundary Conditions 

Computer programs using the three- 
dimensional displacement -discontinuity 
approach normally consider that the 
region outside the modeled area Is at 
equilibrium with the overburden stress 
and therefore is implicitly unmined and 
incompressible. In applications of this 
method, it has been a matter of concern 
how best to avoid distortion of results 
due to the influence of an incompressible 
model boundary (for example, reference 5, 
p. 15). 

MULSIM/BM deals with this problem fair- 
ly easily, through the mechanism of the 
undivided coarse-mesh blocks. If the 
coarse-mesh area includes the entire area 
of interaction that affects the fine-mesh 
area of interest, as described in the 
preceding subsection, then the unmodeled 
regions outside this area of interaction 
are in a sense irrelevant, since they 
do not in any case affect the area of 
interest. 

A further refinement of the boundary 
effect exists in MULSIM/BM because of the 
potential use of different material prop- 
erty types near the model boundaries. In 
effect, each individual element or block 
in the model grid considers that the 
unmodeled area consists of the same mate- 
rial type that was used for that indi- 
vidual element or block. The result is 
that any material type, for example a gob 
zone, can be carried right to the coarse- 
mesh model boundary. If the blocks close 
to the boundary are under a stress that 
is close to the overburden stress, then 
regardless of material type they will not 
be significantly affected by the presence 
of the model boundary. 

GOUGE MATERIAL 

The MULSIM/BM gouge material capability 
is taken from the original MULSIM program 
( 15 , pp. 140-144). This material model 
capability allows the use of a seam plane 
to model a fault plane filled with a 
gouge material. The resulting capabil- 
ity is very similar to a slip or joint 
element. 



11 



The gouge material uses a Mohr-Coulomb 
shear strength criterion for calculation 
of rides (differential horizontal dis- 
placements across the material). Besides 
the Young's modulus and shear modulus, 
the material model makes use of values of 
cohesion and internal friction angles. 
Two sets of these values for cohesion and 
internal friction angle are used: The 
first set gives the normal values for an 
intact material; the second set gives 
residual values for a material that has 
cracked open (i.e., with negative clo- 
sure) and then closed back up again. 

In the solution using this material 
model, the difference between horizontal 
stresses in the roof and floor of the 
seam is compared to the maximum allowable 
shear stresses that are obtained from the 
operative (intact or residual) strength 
properties, using the normal compres- 
sive stress as a confining stress. If 
the difference between the horizontal 
stresses is within the allowable limits, 
then the rides are determined by using 
the shear modulus in the normal manner. 
If, however, the difference between the 
horizontal stresses exceeds the allowable 
limits, then the amount of excess stress 
is used to introduce horizontal slip into 
the ride components for the next iter- 
ation, until the excess horizontal 
stresses are relieved. 

SEAM LIMITATIONS, SIGN CONVENTIONS, 
AND SYMMETRY OPTIONS 

Maximum Number of Seams 

In general, the maximum number of seams 
that can be analyzed depends on the 
dimension statements within a particular 
program version being used. The program 
dimension statements must be fitted to 
the total computer core memory available, 
unless the program is to run on a virtual 
memory machine, in which case the memory 
limitation effectively disappears. 

The original MULSIM program ( 15 ) was 
dimensioned for a maximum of four par- 
allel tabular seams. The MULSIM/BM pro- 
gram, as listed in appendix C, is limited 
to a maximum of two seams with a maximum 
grid of 40 by 40 blocks per seam, in 



order to meet the memory limitations of 
the computer used for program develop- 
ment. To remain within the same core 
memory limits, a three-seam maximum would 
require reducing the maximum grid size 
to about 30 by 30 blocks per seam, and a 
four-seam maximum would require a maximum 
total grid of about 20 by 20 blocks per 
seam. The mesh-generating program listed 
in appendix D is compatible with any max- 
imum number of seams and with maximum 
grid sizes up to 40 by 40 blocks per 
seam. Appendix G shows how MULSIM/BM can 
be modified to run on a virtual memory 
computer. 

Location of Seam Origins 

As shown in figure 4, the grids for the 

MULSIM/BM seam planes must be located 

with the grid origins all lying on the 

same normal line. This limitation arises 



Surface 



X 3 (Z) 



/7 X 2 




FIGURE 4.— Seam origins lie on the same normal line. 



12 



because the programmed calculation of 
influence coefficients does not allow for 
relative displacement of the seam grids. 
Thus, for level seams, the Xi and X2 
coordinates of all seam origins must be 
the same. For dipping seams, the X1, X2, 
and X3 coordinate inputs must be calcu- 
lated to meet the constraint imposed on 
the seam origin location. 

Sign Conventions 

The global coordinate system of MULSIM/ 
BM is a standard set of three orthogonal 
axes, Xi, X2, and X3, that follow the 
standard right-hand rule: If the thumb 
of the right hand points in the X3 direc- 
tion, then an outstretched finger points 
in the Xi direction while a finger curved 
to 90° points in the X2 direction. The 
global origin lies at the surface. For 
dipping seams, as shown in figure 4, the 



local XJ and X2 axes remain in the plane 
of the seam, and X3 is normal to the seam 
plane. 

The sign conventions for displacements 
and stresses are the same as in the orig- 
inal MULSIM program (1_5, pp. 33-34) and 
are shown in figure 5. Positive dis- 
placements, ui, U2> and M3, are in the 
direction of the corresponding global 
axes, as shown in figure 5A. Figure 55 
shows the positive sense of closure and 
rides. Seam closure (vertical movement 
between roof and floor) is positive in 
the direction that compresses a seam 
material. Rides (differential horizontal 
movement between roof and floor) are 
positive when the floor undergoes a posi- 
tive relative displacement. Figure 5C 
shows the positive sense of the stress 
components, oij. a j j has a positive 
sense if it points in the positive xj 
direction while acting on a plane whose 




X2,^2 



* X I'^I 



A. Positive displacements, fJL } 




- n+n - 



,.x 3 =o:o 



if 0- ^ 
^Ride 
B. Positive rides and closures 





'2 1 



1 


I 




\ 



'22 



'23 



C. Positive normal and shear stresses 

FIGURE 5.— Sign conventions for displacements and stresses. 



13 



outward normal points in the negative 
Xi direction. Therefore, compressive 
stresses are positive; and the positive 
senses of the shear stresses are as shown 
in figure 5C . 

Symmetry Options 

MULSIM/BM includes the same symmetry 
options as in the original MULSIM pro- 
gram (15). Figure 6 illustrates the four 



symmetry options available. As shown in 
the figure, option 1 specifies no sym- 
metry. Options 2 and 3 allow a line of 
symmetry through the center of the model 
grid, and option 4 combines options 2 and 
3 so that two lines of symmetry exist. 

The effect of specifying symmetry op- 
tion 2, 3, or 4 is to reduce the solution 
time and, to a small extent, the input 
data requirements. Only the nonsymmetri- 
cal portion of the grid Is specified as 



X- 



t 



40 



20 

□ 



20 40 



(0,0) 

A. Symmetry code 
(no symmetry) 



->X_ 




I 
m 
a 

g 
e 



I 



■> X- 



B. Symmetry code 2 




(0,0) 



> X- 



X- 



r 




(0,0) 



X 



_J 



J 



-> x^ 



C. Symmetry code 3 



D. Symmetry code 4 

FIGURE 6— Symmetry options. 



14 



input. For example, for the program as 
listed in appendix C, the maximum grid 
size is 40 by 40 blocks, including a max- 
imum 20- by 20-block fine-mesh grid; but 
if symmetry code 4 is used, only a 20- 
by 20-block grid with a maximum 10- by 
10-block fine-mesh grid can be input. 
The fine-mesh area must be located so 
that the lines of symmetry also bisect 
the fine-mesh grid. For symmetry codes 2 
and 3, the fine-mesh area can lie any- 
where along the line of symmetry, so 
long as the line of symmetry bisects the 



fine-mesh grid; for symmetry code 4, the 
fine-mesh grid must necessarily occupy 
the center of the coarse-mesh grid. 

The savings in solution time occurs 
because the program needs only to find 
solutions for the nonsymmetric portion 
(half or quadrant) of the grid. During 
the iteration process, the current solu- 
tions for each element and block are also 
stored for the corresponding imaged ele- 
ments and blocks. Total solution time in 
the iteration phase is thus reduced by a 
factor of either 2 or 4. 



COMPANION MESH GENERATOR PROGRAM 



The companion interactive-graphics mesh 
generator program is quick and conve- 
nient. The different material types are 
each assigned elastic property values 
(Young's modulus and shear modulus) and 
an identifying letter (A through Z); each 
element or undivided block is then 
assigned the desired material type by 
specifying the appropriate identifying 
letter. For the undivided coarse-mesh 
blocks, a table of extraction ratios can 
be defined; each undivided block that 
uses an original seam material can then 
be assigned one of the extraction ratios. 

Figure 7 shows an example mining lay- 
out that was defined to illustrate 
use of MULSIM/BM and of the companion 



mesh-generator program. Example grids 
for analysis of this layout are shown in 
figure 8. A mining engineer can easily 
generate a data file to analyze this 
example problem in a 1-h session using 
the mesh-generator program. 

Appendix B shows a sample terminal ses- 
sion using the mesh generator to create a 
MULSIM/BM input file for this example. 
Appendix E shows the resulting MULSIM/BM 
input data file. Appendix F shows the 
output that results from MULSIM/BM for 
the same example. The job control lan- 
guage needed to run the program on the 
computer system used at the Bureau's 
Denver (CO) Research Center is shown in 
appendix H. 



DEVELOPING A PLAN OF ANALYSIS 



The following procedure is recommended 
as a general approach to analyzing a 
problem using MULSIM/BM. The procedure 
presented here expands upon a general 
approach recommended previously U_)» 
While some of the recommended steps may 
appear obvious, it is worth taking note 
that none of them should, in general, be 
omitted. 

1. Define the problem. This means 
explicitly asking one or more questions 
that one expects can be answered on the 
basis of analysis. Examples of such 
questions might be, "What is the safe 
size for a particular coal pillar?" or 
"How much steel support is needed in a 
certain area to limit opening closure to 
desired limits?" 



2. Identify the appropriate theoreti- 
cal approach to analyze the problem. For 
some problems a finite-element approach 
or perhaps a discrete block analysis 
will be indicated. This selection of 
approach must be made on the basis of the 
analyst's experience and familiarity with 
the capabilities and limitations of dif- 
ferent available methods. The following 
steps assume that MULSIM/BM has been 
selected as the vehicle of the analysis. 

3. Define the area of interest. This 
area should be included within the fine- 
mesh zone of the grid. 

4. Identify the relevant area of in- 
teraction. This will be the maximum area 
from which load transfer effects will 



15 



Upper seam 



Upper seam 




Lower seam 




100 200 
i . I 

Scale, ft 

FIGURE 7.— Example mining layout 



KEY 
* t i i 1 1 Mine entryway 




Lower seam 




KEY 
Coal block, 
zero extraction 



ZT\ Coal block, 
-J 0.2 extraction 



r , o o 



Gob block 



■ 


u 2 ' 7& 2 


l'2 u 




'jl ai? 

















Coal 
elements 

Gob 

elements 

Open 
elements 



FIGURE 8.— MULSIM/BM grids for the example layout. 



16 



be felt within the area of interest. If 
possible, this entire area should be 
included within the MULSIM/BM grid. 

5. Identify reasonable initial values 
for effective material properties and 
for the virgin stress conditions. True 
stress values can only be determined by 
in situ measurements. Material proper- 
ties are sometimes available from labora- 
tory or in situ testing; in other cases, 
representative properties can be used 
with reasonable accuracy. As discussed 
previously in this report, recent Bureau 
work (J_, 9_) has used rock mass modulus 
values in the range of 400,000 psi, cor- 
responding to relatively low values of 
the rock mass rating (2), and an effec- 
tive in situ gob modulus of 20,000 psi, 
adjusted to 5,000 psi in accordance with 
equation 9 of this report. 

The initial values used for the coal 
seam or for other materials such as pack- 
walls may need to be reduced in highly 
stressed areas such as those adjacent to 
a large gob zone or within the influence 
zone of a stress concentration emanating 
from an adjacent seam. Previous Bureau 
work (1, 7-10) has shown that a procedure 



of reducing the effective modulus value 
until the resulting stresses become 
allowable can adequately represent the 
transfers of stresses that result from 
in situ weakening and softening of highly 
stressed materials. 

6. Identify cases to be analyzed. 

7. Generate MULSIM/BM input files for 
the desired cases using the mesh genera- 
tor program. 

8. Run MULSIM/BM to obtain results 
for the desired cases. 

9. Analyze the results using postpro- 
cessing graphics or other methods. 

10. Determine whether the problem has 
been satisfactorily solved. If not, it 
may frequently be desirable to redefine 
the problem on the basis of the analysis 
conducted so far. At this stage, all 
the parameters of the analysis should be 
reexamined; even the selection of theo- 
retical approach may be subject to 
change. Therefore the analyst should at 
this point return to step 1 of this sug- 
gested analysis procedure. 



REFERENCES 



1. Beckett, L. A., and R. S. Madrid. 
Practical Application of MULSIM/BM for 
Improved Mine Design. Paper in Use of 
Computers in the Coal Industry (Third 
Conf., WV Univ., Morgantown, WV, July 
28-30, 1986). A. A. Balkema, Rotterdam, 
Netherlands, 1986, pp. 209-219. 

2. Bieniawski, Z. T. Determining Rock 
Mass Def ormability: Experience From Case 
Histories. Int. J. Rock Mech. , Min. Sci. 
& Geomech. Abstr. , v. 15, 1978, pp. 237- 
247. 

3. Crouch, S. L. , and C. Fairhurst. 
The Mechanics of Coal Mine Bumps and the 
Interaction Between Coal Pillars, Mine 
Roof, and Floor (contract H0101778, Univ. 
MN). BuMines OFR 53-73, 1973, 88 pp.; 
NTIS PB 222 898. 



4. Crouch, S. L. , and A. M. Star- 
field. Boundary Element Methods in Solid 
Mechanics. Allen & Unwin, 1983, 322 pp. 

5. Hardy, M. P., H. N. Maleki, and 
S. J. Mitchell. Application of Dis- 
placement of Discontinuity Methods in 
Underground Mine Design. Paper in Rock 
Masses: Modeling of Underground Open- 
ings/Probability of Slope Failure/Frac- 
ture of Intact Rock, ed. by C. H. Dowding 
(Proc. Symp. sponsored by ASCE Geotech. 
Eng. Div. in conjunction with ASCE Conv. , 
Denver, CO, Apr. 29-30, 1985). ASCE, 
1985, pp. 14-20. 

6. Hladysz, Z. Analysis of Risk in 
Multiple Seam Mining. Soc. Min. Eng. 
AIME preprint 85-357, 11 pp. 



17 



7. Kidybinski, A., and C. 0. Babcock. 
Stress Distribution and Rock Fracture 
Zones in the Roof of Longwall Face in 
a Coal Mine. Rock Mech. , v. 5, No. 1, 
1973, pp. 1-19. 

8. Kripakov, N. P. Analysis of Pil- 
lar Stability on Steeply Pitching Seam 
Using the Finite Element Method. BuMines 
RI 8579, 1981, 33 pp. 

9. Kripakov, N. P., L. A. Beckett, 
and D. A. Donato. Loading on Underground 
Mine Structures Influenced by Multiple 
Seam Interaction. Paper in International 
Symposium on Application of Rock Char- 
acterization Techniques in Mine Design 
(SME-AIME Ann. Meeting, New Orleans, LA, 
Mar. 1986). Soc. Min. Eng. AIME, Little- 
ton, CO, 1986, pp. 225-236. 

10. Kripakov, N. P. , and M. T. Mel- 
vin. A Computer Program To Simulate Pro- 
gressive Rock Failure Around Coal Mine 
Entries. Paper in Proceedings of the 
First Conference on Use of Computers in 
the Coal Industry (WV Univ., Morgantown, 
WV, Aug. 1-3, 1983). Soc. Min. Eng. 
AIME, New York, 1983, pp. 487-502. 

11. Mozumdar, B. J. A Mathematical 
Model of Ground Movement Due to 



Underground Mining. Ph.D. Thesis, PA 
State Univ. , 1974, 134 pp. Xerox Univ. 
Microfilms, Ann Arbor, MI, fac. 75-9815, 
1978. 

12. Peng, S. S. Coal Mine Ground Con- 
trol. Wiley, 1978, 450 pp. 

13. Salamon, M. D. G. Elastic Analy- 
sis of Displacements and Stresses Induced 
by the Mining of Seam or Reef Deposits. 
J. South African Inst. Min. & Metall. , 
Part I, v. 64, No. 4, 1963, pp. 128-149; 
Part II, v. 64, No. 6, 1964, pp. 197- 
218; Part III, v. 64, No. 10, 1964, 
pp. 468-500; Part IV, v. 65, No. 5, 1964, 
pp. 319-338. 

14. . Reconsolidation of Caved 

Areas. Coll. Res. Lab. Transvaal and 
Orange Free State Chamber of Mines Res. 
Org., Republic of South Africa, Res. Rep. 
58/66, July 1966, 25 pp. 

15. Sinha, K. P. Displacement Discon- 
tinuity Technique for Analyzing Stresses 
and Displacements Due to Mining in Seam 
Deposits. Ph.D. Thesis, Univ. MN, 1979, 
311 pp.; Univ. Microfilms Int., Ann 
Arbor, MI, fac. 7918390, 1982. 



18 

APPENDIX A.— MULSIM/BM USER'S GUIDE 

This appendix explains to the user of MULSIM/BM how to create the input data file. 

The coarse mesh features and the method of assigning material properties to ele- 
ments are new within this program. Many of the remaining data definition require- 
ments are the same as the original MULSIM program as documented by Sinha (15). ' 

The input data file may be created by using any available text editor, or by run- 
ning the companion mesh generator program. If the user's computer system has Tek- 
tronix graphics software Plot-10, and the appropriate terminals (Tektronix 4010, 
4014, etc.), then the best way to generate the input data file is to use the mesh 
generator program. 

The mesh generator program is described fully in appendix B. 

The maximum grid size and maximum number of seams allowed depend on the particular 
MULSIM/BM version. The version listed in appendix D allows a maximum grid of 40 by 
40 blocks and a maximum of two seams. 

Underlined numbers in parentheses refer to items in the list of references preced- 
ing this appendix. 



19 



INPUT DATA INSTRUCTIONS 

THE INPUT FILE CONSISTS OF SEVERAL DIFFERENT CARD TYPES, 
THE FILE MUST BE IN CARD TYPE SEQUENCE. 

THE INPUT DATA MUST BE IN CONSISTENT UNITS FOR 
DIMENSIONS, STRESSES, AND MODULI. 
FOR EXAMPLE: 

METERS KILOPASCALS KILOPASCALS 

METERS MEGAPASCALS MEGAPASCALS 



CARD TYPE 1 - TITLE 
DATUM 
TITLE (ANY TEXT) 

CARD TYPE 2 - HOST ROCK MATERIAL PROPERTIES 
DATUM 

POISSON'S RATIO OF ROCK MASS 
MODULUS OF ELASTICITY OF ROCK MASS 
NUMBER OF SEAMS (1-N) 

N - THE CURRENT VERSION WILL ACCEPT UP TO 2 

SEAMS. THIS IS BECAUSE OF THE MAXIMUM 40X40 
BLOCK MODEL. OTHER VERSIONS WITH SMALLER 
BLOCK MODELS WILL ACCEPT UP TO 4 SEAMS. 



COLUMNS FORMAT 
1-80 20A4 



COLUMNS FORMAT 
1-8 F8.2 
9-20 E12.6 
21-28 18 



CARD TYPE 3 - NUMBER OF MATERIAL PROPERTIES 



DATUM 

NUMBER OF MATERIAL TYPES (1-26) 



COLUMNS FORMAT 
1-80 * 



CARD TYPE 4 - SEAM MATERIAL PROPERTIES 

(ONE CARD FOR EACH MATERIAL TYPE INPUT IN CARD TYPE 3) 
DATUM COLUMNS FORMAT 

MODULUS OF ELASTICITY 1-16 E16.10 

SHEAR MODULUS (MODULUS OF RIGIDITY) 17-32 E16.10 

THE FOLLOWING DATA MAY BE IGNORED IF THE SHEAR FAILURE OF 
SEAM MATERIAL IS NOT TO BE CONSIDERED. (STATUS CODE IS 3) 



COHESION 

FRICTION ANGLE 

RESIDUAL VALUE OF COHESION 

RESIDUAL VALUE OF FRICTION ANGLE 



33-40 E8.2 

41-48 E8.2 

49-56 E8.2 

57-64 E8.2 



AN '*' FORMAT IS FREE FORMAT( NUMBERS SEPARATED BY COMMAS) 
GOB MATERIAL INDICATOR(l=YES,0=NO) 



65-72 18 



20 



CARD TYPE 5 - PRIMITIVE STRESS PARAMETERS 

THE STRESS TENSOR THAT DESCRIBES A STRESS STATE THAT EXISTS 
PRIOR TO MINING IS DEFINED AS LINEAR FUNCTIONS OF GLOBAL DIRECTION. 
WITH COMPRESSION BEING POSITIVE; THE EQUATIONS ARE OF THE FORM: 
STRESS(1,1) = All - Bll * X3 

(1,2) = A12 - B12 * X3 AND SO ON. 

AXX MUST BE >= -.9999 AND <= 99999. 
BXX MUST BE >= -.9999 AND <= 9.9999 
X3 MUST BE NEGATIVE. 

REFER TO SINHA (15) FOR MORE DETAILS. 



DATUM 


All 


CONSTANT 


Bll 


CONSTANT 


A12 


CONSTANT 


B12 


CONSTANT 


A13 


CONSTANT 


B13 


CONSTANT 


A22 


CONSTANT 


B22 


CONSTANT 


A23 


CONSTANT 


B23 


CONSTANT 


A3 3 


CONSTANT 


B33 


CONSTANT 



COLUMNS 


FORMAT 


1-6 


F6.0 


7-12 


F6.4 


13-18 


F6.0 


19-24 


F6.4 


25-30 


F6.0 


31-36 


F6.4 


37-42 


F6.0 


43-48 


F6.4 


49-54 


F6.0 


55-60 


F6.4 


61-66 


F6.0 


67-72 


F6.4 



CARD TYPE 6 - MODEL DATA 



DATUM 

BLOCK WIDTH 

NUMBER OF BLOCKS IN X-AXIS (1 TO 40) 
THIS IS THE NUMBER OF BLOCKS ALONG THE 
LOCAL X-AXIS IN EACH SEAM. 
(TOTAL COARSE GRID PLUS FINE GRID). 
IF SYMMETRY IS SPECIFIED, THEN THIS SHOULD 
BE THE UNIQUE PORTION (QUADRANT OR HALF) 
OF THE MESH. 



COLUMNS FORMAT 
1-8 F8.2 
9-16 18 



NUMBER OF BLOCKS IN Y-AXIS (1 TO 40) 
SAME AS ABOVE EXCEPT FOR THE Y-AXIS. 



17-24 18 



SYMMETRY FLAG(1 , 2, 3, 4) 
IF SYMMETRY IS SPECIFIED, THE LINES OF 
SYMMETRY PASS THROUGH THE CENTER OF THE MODEL. 

1 - NO SYMMETRY 

2 - VERTICAL LINE OF SYMMETRY 

3 - HORIZONTAL LINE OF SYMMETRY 

4 - VERTICAL AND HORIZONTAL LINES OF SYMMETRY 



25-32 18 



21 



NUMBER OF OFF-SEAM PLANES 
AT WHICH DISPLACEMENTS AND 
STRESSES ARE TO BE COMPUTED. 



33-40 18 



THE FINE MESH BLOCKS ARE SUBDIVIDED INTO 25 ELEMENTS. THIS 
CONSISTS OF 5 ROWS OF 5 ELEMENTS PER ROW. 



STARTING BLOCK IN FINE MESH 

X-AXIS 
ENDING BLOCK IN FINE MESH 

X-AXIS 
STARTING BLOCK IN FINE MESH 

Y-AXIS 
ENDING BLOCK IN FINE MESH 

Y-AXIS 

NOTE: ENDING BLOCK - STARTING BLOCK MUST BE LESS THAN 20 

CARD TYPE 7 - EXTRACTION DATA FOR COARSE MESH BLOCKS 

EXTRACTION CODE '0' IS THE DEFAULT FOR ZERO EXTRACTION. 
THIS CODE IS IRRELEVANT FOR GOB OR OPENINGS. 



41-48 18 

49-56 18 

57-64 18 

65-72 18 



DATUM 

NUMBER OF EXTRACTION RATIOS 
NUMBER OF ADDITIONAL EXTRACTION RATIO 
CODES. (ADDITIONAL TO ZERO). VALID VALUES 
ARE 1 THROUGH 9. 



COLUMNS FORMAT 
1-8 18 



EXTRACTION RATIO 1 
ALL EXTRACTION RATIOS MUST BE A FRACTIONAL 
NUMBER GREATER THAN AND LESS THAN 1. 



9-16 F8.3 



EXTRACTION 
EXTRACTION 
EXTRACTION 
EXTRACTION 
EXTRACTION 
EXTRACTION 
EXTRACTION 
EXTRACTION 



RATIO 
RATIO 
RATIO 
RATIO 
RATIO 
RATIO 
RATIO 8 
RATIO 9 



CARD TYPE 8 - GLOBAL COORDINATES OF GRID ORIGIN 

(ONE CARD FOR EACH SEAM AS INPUT IN CARD TYPE 2) 
( THE SEAM ORIGINS ARE AT THE ROOF OF THE SEAM ) 

DATUM 

X-COORDINATE FOR SEAM ORIGIN 

Y-COORDINATE FOR SEAM ORIGIN 

Z-COORDINATE FOR SEAM ORIGIN(MUST BE NEGATIVE) 

SEAM THICKNESS 



17-24 


F8.3 


25-32 


F8.3 


33-40 


F8.3 


41-48 


F8.3 


49-56 


F8.3 


57-64 


F8.3 


65-72 


F8.3 


73-80 


F8.3 



COLUMNS FORMAT 

1-8 F8.1 

9-16 F8.1 

17-24 F8.1 

25-32 F8.1 



22 



CARD TYPE 9 - GRID ORIENTATION FOR SEAM 

(DIRECTION COSINES BETWEEN SEAM GRID AND GLOBAL COORDINATE SYSTEM) 
EN(I,J) IS THE DIRECTION COSINE OF LOCAL AXIS X(I) AT THE 
SEAMS WITH RESPECT TO THE GLOBAL AXIS X(J). 



DATUM 

EN(1,1) 

EN(2,1) 

EN(3,1) 

EN(1,2) 

EN(2,2) 

EN(3,2) 

EN(1,3) 

EN(2,3) 

EN(3,3) 



COLUMNS 


FORMAT 


1-8 


F8.5 


9-16 


F8.5 


17-24 


F8.5 


25-32 


F8.5 


33-40 


F8.5 


41-48 


F8.5 


49-56 


F8.5 


57-64 


F8.5 


65-72 


F8.5 



CARD TYPE 10 - MODEL RUN AND RESTART CONTROL PARAMETERS 



DATUM 

OVER RELAXATION FACTOR 
VALID VALUES 1.0 THROUGH 1.99 
(1.35 IS OFTEN BEST) 



COLUMNS FORMAT 
1-8 F8.2 



MAXIMUM ITERATIONS FOR THIS RUN 
COMPUTER RUN NUMBER (SEE NOTE 1.) 
COMPLETED ITERATIONS (SEE NOTE 2.) 

IN PREVIOUS RUNS 
USE PREVIOUS GRID FLAG ( 1 =Y, 0=N) (SEE NOTE 3.) 



9-16 


18 


17-24 


18 


25-32 


18 



33-40 18 



NOTES: 1. COMPUTER RUN NUMBER GREATER THAN 1 IMPLIES THAT DESIRED 
ACCURACY WAS NOT ACHIEVED IN PREVIOUS RUN. 

2. COMPLETED ITERATIONS GREATER THAN ZERO IMPLIES THAT 
THE RIDE AND CLOSURE VALUES OBTAINED AND SAVED IN 
PREVIOUS RUNS ARE TO BE USED AS THE INITIAL APPROXIMATIONS 
FOR THIS RUN. 

3. IF THE PREVIOUS GRID FLAG IS SET TO '1', THEN THE INFLUENCE 
COEFFICIENTS ARE TO BE RETRIEVED FROM A PREVIOUSLY 

SAVED FILE. ALSO THE MODEL GRID IS TO REMAIN THE SAME AS 
IN A PREVIOUS RUN. 

CARD TYPE 11 - FINE MESH MATERIAL PROPERTY CODES 

(ONE CARD FOR EACH ROW OF ELEMENTS IN THE FINE MESH GRID 
OF EACH SEAM) 



EACH CARD CONTAINS THE MATERIAL PROPERTY CODES FOR 
ALL ELEMENTS IN THE ROW. 
(THE NUMBER OF ELEMENTS PER ROW IS 5 TIMES THE NUMBER OF 
FINE MESH BLOCKS IN THE X-DIRECTION. THE TOTAL NUMBER 
OF ELEMENT ROWS IS 5 TIMES THE NUMBER OF FINE MESH BLOCKS 
IN THE Y-DIRECTION, TIMES THE NUMBER OF SEAMS.) 



23 



DATUM COLUMNS FORMAT 

MATERIAL PROPERTY CODES 1-100 100A1 

EACH CODE ENTERED SPECIFIES THE MATERIAL 

PROPERTY SET FOR A PARTICULAR ELEMENT. 

THE CODES MUST CORRESPOND TO THE NUMBER OF 

MATERIAL TYPES ENTERED IN CARD TYPE 3, PLUS THE VALUES 1 AND 2. 

I. E. IF 2 MATERIAL TYPES ENTERED, THEN 

VALID VALUES ARE (A,B, 1, 2). 

IF 3 MATERIAL TYPES ENTERED, THEN 

VALID VALUES ARE (A,B,C, 1, 2) ETC. 

CODE 1 INDICATES AN OPENING, CODE 2 INDICATES A COMPLETELY RIGID MATERIAL. 

CARD TYPE 12 - FINE MESH MINING STATUS CODES 

(ONE CARD FOR EACH ROW OF ELEMENTS IN THE FINE MESH GRID 
OF EACH SEAM) 

EACH CARD CONTAINS THE MINING STATUS CODES FOR 
ALL ELEMENTS IN THE ROW. 
(THE NUMBER OF ELEMENTS PER ROW IS 5 TIMES THE NUMBER OF 
FINE MESH BLOCKS IN THE X-DIRECTION. THE TOTAL NUMBER 
OF ELEMENT ROWS IS 5 TIMES THE NUMBER OF FINE MESH BLOCKS 
IN THE Y-DIRECTION TIMES THE NUMBER OF SEAMS.) 

DATUM COLUMNS FORMAT 

MINING STATUS CODES 1-100 100A1 

EACH CODE ENTERED SPECIFIES THE 
MINING STATUS CODE SET FORA 
PARTICULAR ELEMENT. 
VALID VALUES ARE: 

3 - NORMAL PROPERTIES 
(SEAM MATERIAL, GOB 

INSERTED MATERIAL) 

4 - GOUGE MATERIAL 
(MOHR-COULOMB MODEL) 

CARD TYPES 13 AND 14 MUST BE INCLUDED IF A COARSE MESH AREA HAS 
BEEN DEFINED. THEY MUST NOT BE INCLUDED IF THE MODEL DOES NOT CONTAIN 
ANY COARSE MESH BLOCKS. 

CARD TYPE 13 - COARSE MESH MATERIAL PROPERTY CODES 

(ONE CARD FOR EACH ROW OF BLOCKS IN THE TOTAL GRID MODEL) 
(EACH CARD CONTAINS THE MATERIAL PROPERTY CODES FOR ALL 
BLOCKS IN THE ROW) 

DATUM - COLUMNS FORMAT 

MATERIAL PROPERTY CODES 1-40 40A1 

THE VALID CODES ARE THE SAME AS THE 
FINE MESH AREA WITH THE ADDITIONAL 
SPECIAL CODE '*' WHICH IS USED TO 
DESIGNATE A FINE MESH BLOCK. 



24 



CARD TYPE 14 - COARSE MESH EXTRACTION RATIO CODES 

(ONE CARD FOR EACH ROW OF BLOCKS IN THE TOTAL GRID MODEL) 
EACH CARD CONTAINS THE EXTRACTION CODE FOR EVERY BLOCK 
IN THE ROW. 



DATUM 

EXTRACTION RATIO CODES 

EACH CODE ENTERED SPECIFIES THE 

EXTRACTION RATIO FOR A PARTICULAR 

BLOCK IN THE ROW. VALID CODES 

(1 TO 9) ARE SET UP IN CARD TYPE 7. 

I.E. IF 2 ENTERED, THEN THE VALID 

VALUES ARE (0,1,2). 

IF 3 ENTERED, THEN THE VALID 

VALUES ARE (0,1,2,3) ETC. 

AGAIN, THE SPECIAL CODE »*» IS 

USED TO DESIGNATE A FINE MESH BLOCK. 



COLUMNS FORMAT 
1-40 40A1 



CARD TYPE 15 - OFF SEAM GRID DETAILS 



THE OFF-SEAM PLANE IS AN ARBITRARY PLANE IN THE ROCK 
MASS. STRESSES AND DISPLACEMENTS ARE CALCULATED AT THE 
CENTER OF EACH BLOCK WITHIN THE OFF-SEAM PLANE. 



DATUM 

X-COORDINATE OF OFF-SEAM ORIGIN 
Y-COORDINATE OF OFF-SEAM ORIGIN 
Z-COORDINATE OF OFF-SEAM ORIGIN 
BLOCK WIDTH ALONG X-AXIS 
BLOCK WIDTH ALONG Y-AXIS 
NUMBER OF BLOCKS ALONG X-AXIS 
NUMBER OF BLOCKS ALONG Y-AXIS 



COLUMNS 


FORMAT 


1-12 


F12.3 


13-24 


F12.3 


25-36 


F12.3 


37-48 


F12.3 


49-60 


F12.3 


61-68 


18 


69-76 


18 



CARD TYPE 15A - OFF SEAM PLANE ORIENTATION 
(DIRECTION COSINES) 



DATUM 

EN1X 

EN2X 

EN3X 

EN1Y 

EN2Y 

EN3Y 

EN1Z 

EN2Z 

EN3Z 



COLUMNS 


FORMAT 


1-8 


F8.5 


9-16 


F8.5 


17-24 


F8.5 


25-32 


F8.5 


33-40 


F8.5 


41-48 


F8.5 


49-56 


F8.5 


57-64 


F8.5 


65-72 


F8.5 



NOTE: CARD TYPE PAIRS(15, 15A) ARE REPEATED FOR EACH OFF-SEAM PLANE 



25 

APPENDIX B.~ MULSIM/BM MESH GENERATOR USER'S GUIDE 

This user's guide is in the form of a sample terminal session. The MULSIM/BM input 
file created by this sample session is listed in appendix E. 

As installed on the computer system used by the Bureau, the mesh generator is 
started by entering the following commands following the "ready" prompt from the 
computer: 

GET , PRGENM/UN=BM000 1L 
BEGIN, PRGENM 

These commands will start up a procedure file that calls the mesh generator pro- 
gram. A listing of the procedure file follows the sample terminal session. Anyone 
using a different computer system will need to implement an equivalent procedure. 

The user will make the selection as to whether or not the mesh generator will con- 
vert depth and distance entered in feet to inches. 

All card type data will be requested as outlined in the input data instructions in 
appendix A, except for the orientation of the grid or the orientation of any off-seam 
planes. The orientation will be supplied in terms of strike, dip, and offset angles, 
and the mesh generator program will then calculate the appropriate direction cosines. 

The maximum grid size and maximum number of seams depend on the MULSIM/BM version 
to be used. 



26 



SAMPLE TERMINAL SESSION 

READY 

GET,PRGENM/UN=BM0001L USER 

BEGIN, PRGENM USER 

THIS PROGRAM GENERATES INPUT-DATA FOR MULSIM 

WHAT DO YOU WANT TO DO NOW 

TYPE TO END THIS PROGRAM NOW 

TYPE 1 TO GENERATE A DATA FILE 

? 1 USER 

PREPARATION OF INPUT-DATA FOR —ENHANCED MULSIM 

YOU MUST USE CONSISTENT UNITS FOR: 

DIMENSION, STRESSES, AND MODULI 
(FOR EXAMPLE: METERS, KILOPASCALS, KILOPASCALS 
METERS, MEGAPASCALS, MEGAPASCALS 
INCHES, PSI, PSI 

DO YOU WANT AUTOMATIC CONVERSION OF DEPTH AND 
DISTANCE ENTERED IN FEET TO INCHES(Y OR N) 
? Y USER 

DEPTH AND DISTANCE VALUES WILL BE CONVERTED 
FROM FEET TO INCHES. 

(MODULUS VALUES WILL NOT BE CONVERTED) 
CARD TYPE 1 —TITLE 
WHAT IS THE TITLE 
? MULSIM/BM SAMPLE PROBLEM — THIS IS LINE 1 OF THE FILE USER 
TITLE ENTERED IS: 
MULSIM/BM SAMPLE PROBLEM — THIS IS LINE 1 OF THE FILE 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 2 

POISSON'S RATIO OF THE ROCK MASS = 
? .15 USER 

MODULUS OF ELASTICITY OF THE ROCK MASS = 
? 400000 USER 

THE MAXIMUM GRID AND THE MAXIMUM 
NUMBER OF SEAMS ALLOWED DEPEND 
ON THE MULSIM/BM VERSION TO BE USED 
1-2 40 X 40 

3 30 X 30 

4 20 X 20 
NUMBER OF SEAMS = 

? 2 USER 

HOST MATERIAL PROPERTIES ENTERED ARE: 

POISSON'S RATIO: .15 

MODULUS OF ELASTICITY: 400000. 

NUMBER OF SEAMS: 2 
IS THIS OK(Y/N) 
? Y USER 



27 



CARD TYPE 3 

SEAM MATERIALS ARE SPECIFIED BY A LETTER CODE 

(A,B,C,....Z) 
HOW MANY OF THESE MATERIALS ARE THERE 
? 2 
CARD TYPE 4 

MATERIAL NUMBER: 1 

MATERIAL CODE: A 

IS THIS A 
GOUGE MATERIAL(MOHR-COULOMB MODEL)? 

3 = "NORMAL MATERIALS" 

(SEAM MATERIALS, GOB, OR "INSERTED" MATERIALS) 

4 = GOUGE METERIAL (MOHR-COULOMB MODEL) 
(ENTER 3 OR 4) 

? 3 

INPUT MATERIAL PROPERTIES: 
(COHESION AND FRICTION ANGLE CAN BE ASSIGNED 0.0) 
IF THEY ARE UNNECESSARY. ) 
YOUNGS MODULUS = 
? 200000 

SHEAR MODULUS = 
? 76923 

COHESION OF SOLID MATERIAL = 
? 

INTERNAL FRICTION ANGLE OF SOLID MATERIAL = 
? 

COHESION OF BROKEN MATERIAL = 
? 

INTERNAL FRICTION ANGLE OF BROKEN MATERIAL = 
? 

IS THIS A GOB/INSERTED MATERIAL TYPE (Y/N) 
? N 

DATA ENTERED FOR MATERIAL NUMBER: 1 
YOUNGS MODULUS: 200000 
SHEAR MODULUS: 76923 
COHESION : 0. 
INTERNAL ANGLE: 0. 
COHESION BROKEN: 0. 
INTERNAL ANG BROKEN: 0. 
GOB MATERIAL: N 
IS THIS OK(Y/N) 
? Y 
CARD TYPE 4 

MATERIAL NUMBER: 2 

MATERIAL CODE: B 

IS THIS A 

GOUGE MATERIAL (MOHR-COULOMB MODEL)? 
3 = "NORMAL MATERIALS" 

<SEAM MATERIALS, GOB, OR "INSERTED" MATERIALS) 



USER 



USER 



USER 
USER 
USER 
USER 
USER 
USER 
USER 



USER 



28 



4 = GOUGE MATERIAL (MOHR-COULOMB MODEL) 
(ENTER 3 OR 4) 
? 3 

INPUT MATERIAL PROPERTIES: 
(COHESION AND FRICTION ANGEL CAN BE ASSIGNED 0.0 
IF THEY ARE UNNECESSARY. ) 
YOUNG'S MODULUS = 
? 5000 

SHEAR MODULUS = 
? 1786 

COHESION OF SOLID MATERIAL = 
? 

INTERNAL FRICTION ANGLE OF SOLID MATERIAL = 
? 

COHESION OF BROKEN MATERIAL = 
? 

INTERNAL FRICTION ANGLE OF BROKEN MATERIAL = 
? 

IS THIS A GOB/INSERTED MATERIAL TYPE(Y/N) 
? Y 

DATA ENTERED FOR MATERIAL NUMBER: 2 
YOUNG'S MODULUS: 5000. 
SHEAR MODULUS: 1786 
COHESION : 0. 
INTERNAL ANGLE: 0. 
COHESION BROKEN: 0. 
INTERNAL ANG BROKEN: 0. 
IS THIS OK(Y/N) 
? Y 

CARD TYPE 5 

INPUT THE PRIMITIVE STRESS DATA 

THE STRESS TENSOR THAT DESCRIBES A STRESS STATE 
THAT EXISTS PRIOR TO MINING IS DEFINED AS LINEAR 
FUNCTIONS OF GLOBAL X3 DIRECTION. WITH COMPRESSION 
BEING POSITIVE, THE EQUATIONS ARE OF THE FORM: 
STRESS(1,1) = A11-B11*X3 
STRESS(1,2) = A12-B12*X3 ETC. 
(X3 IS NEGATIVE) 
AFTER CONVERSION(IF ANY) 

AXX MUST BE >= -.9999 AND <= 99999. 
BXX MUST BE >= -.9999 AND <= 9.9999 
INPUT STRESS DATA IN PSI ASSUMING X3 IS IN FEET; 
THE MESH GENERATOR WILL DIVIDE YOUR BXX VALUES BY 12 
TO MAINTAIN CONSISTENT UNITS SINCE COORDINATES 
HAVE BEEN CONVERTED TO INCHES 

INPUT All: 
? 

INPUT Bll: 
? 0.55 

INPUT A12: 
? 



USER 



USER 
USER 
USER 
USER 
USER 
USER 
USER 



USER 



USER 
USER 
USER 



29 



INPUT B12: 
? 

INPUT A13 
? 

INPUT B13 
? 

INPUT A22: 
? 

INPUT B22 
? 0.55 

INPUT A23: 
? 

INPUT B23: 
? 

INPUT A33 
? 

INPUT B33: 
? 1.1 

PRIMITIVE STRESS DATA ENTERED 

A11,B11, B33 

0. 0.55 0. 0. 0. 0. 0. 0.55 0. 0. 0. 1.1 
IS THIS OK(Y/N) 
? Y 

CARD TYPE 6 

MODEL DATA 
IF SYMMETRY IS SPECIFIED. THE AXES OF SYMMETRY 
PASS THROUGH THE CENTER OF THE MODEL 
WHAT IS THE SYMMETRY CODE 

1 - NO SYMMETRY 

2 - COLUMN SYMMETRY (VERTICAL AXIS OF SYMMETRY) 

3 - ROW SYMMETRY (HORIZONTAL AXIS OF SYMMETRY) 

4 - COLUMN AND ROW SYMMETRY 
ENTER 1,2,3, OR 4 

? 1 

WHAT IS THE BLOCK WIDTH 

(INPUT WIDTH IN FEET: YOUR DATA WILL BE CONVERTED 
TO INCHES.) 

? 100 

HOW MANY BLOCKS LIE ALONG THE LOCAL X AXIS IN 
EACH SEAM(TOTAL GRID-COARSE + FINE) 
IF SYMMETRY WAS SPECIFIED. INPUT ONLY THE UNIQUE 
PORTION (QUADRANT OR HALF) OF THE MESH. 

? 8 

HOW MANY BLOCKS LIE ALONG THE LOCAL Y-AXIS 

IN EACH SEAM(TOTAL GRID-COARSE + FINE) 

IF SYMMETRY WAS SPECIFIED. INPUT ONLY THE UNIQUE 

PORTION (QUADRANT OR HALF) OF THE MESH. 

? 8 

FINE MESH STARTING BLOCK X AXIS 



USER 
USER 
USER 
USER 
USER 
USER 
USER 
USER 
USER 



USER 



USER 



USER 



USER 



USER 



30 



? 4 USER 

FINE MESH ENDING BLOCK X AXIS 
? 5 USER 

FINE MESH STARTING BLOCK Y AXIS 
? 2 USER 

FINE MESH ENDING BLOCK Y AXIS 
? 7 USER 

AT THIS POINT THE MODEL WILL BE PLOTTED OUT ON THE TEKTRONIX 
SCREEN. THE USER WILL SEE A PROMPT AT THE TOP LEFT HAND CORNER 
OF THE SCREEN. 

IF THE USERS RESPONSE TO THE QUESTION "IS THE MODEL OK" IS NO 
THEN THE PROMPTS FOR CARD TYPE 6 ARE REPEATED AND THEN THE 
MODEL IS PRESENTED ON THE SCREEN AGAIN. 

IS MODEL OK(Y/N) 
? Y USER 

DO YOU WANT A HARD COPY(Y/N) 
? N USER 

HOW MANY OFF-SEAM PLANES WILL BE USED TO 
OBTAIN ADDITIONAL STRESS AND DISPLACEMENT DATA 



? 1 



USER 



MODEL DATA ENTERED IS 
BLOCK WIDTH: 100. 



X-AXIS BLOCKS 


: 8. 


Y-AXIS BLOCKS 


: 8. 


FINE MESH X 


: 4 




5 


FINE MESH Y 


: 2 
7 
1 


SYMMETRY CODE 


NUM OFFSEAM 


1 



IS THIS OK(Y/N) 
? Y 

CARD TYPE 7 

EXTRACTION CODE "0" IS ZERO EXTRACTION 
(THIS CODE IS IRRELEVANT FOR GOB OR OPENINGS) 
ENTER NUMBER OF ADDITIONAL 
EXTRACTION RATIO CODES (0 TO 9) 
? 1 

ENTER EXTRACTION RATIO FOR CODE 1 
(FRACTIONAL NUMBER > AND < 1) 
? .2 

EXTRACTION DATA ENTERED IS: 
NUMBER OF NON-ZERO EXTRACTION CODES: 1 
EXTRACTION RATIOS:. 2 
IS THIS OK(Y/N) 
? Y 

CARD TYPE 8 

SEAM NUMBER: 1 

WHAT ARE THE GLOBAL COORDINATES OF THE GRID 



USER 



USER 



USER 



USER 



; 



31 



ORIGIN 

(INPUT IN FEET; YOUR DATA WILL BE CONVERTED 

TO INCHES. 

XO = 
? USER 

YO = 
? USER 

ZO = 
? -1080 USER 

THICKNESS = 
? 10 USER 

GLOBAL COORDINATES FOR SEAM 1 
XO: 0. 
YO: 0. 
ZO: -1080. 
THICKNESS: 10. 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 8 

SEAM NUMBER: 2 

WHAT ARE THE GLOBAL COORDINATES OF THE GRID 
ORIGIN 

(INPUT IN FEET; YOUR DATA WILL BE CONVERTED 
TO INCHES. 
XO = 
? USER 

YO = 
? USER 

ZO = 
? 1000 USER 

MUST BE A NEGATIVE NUMBER 
ZO = 
? -1000 

THICKNESS = 
? 8 USER 

GLOBAL COORDINATES FOR SEAM 2 
XO: 0. 
YO: 0. 
ZO: -1000. 
THICKNESS: 8. 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 9 

GRID ORIENTATION 
SPECIFY STRIKE, DIP AND OFFSET ANGLE 
STRIKE ANGLE IS IN DEGREES COUNTERCLOCKWISE FROM 
GLOBAL Y 

(COUNTERCLOCKWISE IS MEASURED LOOKING DOWN FROM THE 
SURFACE) 



32 



WHAT IS THE STRIKE ANGLE 

? USER 

POSITIVE DIP IS TOWARD THE ROTATED X DIRECTION 
WHAT IS THE ANGLE OF DIP 
? USER 

IN THE PLANE OF THE SEAM, THE OFFSET ANGLE 
IS MEASURED COUNTERCLOCKWISE FROM THE DIP DIRECTION. 
TO THE ENTRY LINE ( THE LOCAL X-AXIS OF YOUR MESH 
WHAT IS THE OFFSET ANGLE? 

? USER 

ANGLES ENTERED ARE: 
STRIKE: 0. 
DIP: 0. 
OFFSET: 0. 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 10 

PROGRAM FLOW PARAMETERS 

THE OVER-RELAXATION FACTOR CAN BE ANY NUMBER 
FROM 1.0 TO 1.99 (1.35 IS OFTEN BEST). 
OVER-RELAXATION FACTOR = 
? 1.35 USER 

WHAT RUN NUMBER IS THIS 
? 1 USER 

HOW MANY ITERATIONS WERE COMPLETED IN PREVIOUS RUNS 
? USER 

MAXIMUM NUMBER OF NEW ITERATIONS FOR THIS RUN = 
? 100 USER 

IS A PREVIOUS COEFFICIENT MAXRIX TO BE USED 
ENTER (1 = YES, = NO) 
? USER 

FLOW PARAMETERS ENTERED ARE: 
RELAXATION FACTOR: 1.35 
RUN NUMBER: 1 
PREV ITERATIONS: 0. 
MAX NEW ITERATIONS: 100. 
PREV COFFICIENTS: 0. 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 15 

OFFSEAM GRID DETAILS: PLANE NO. 1 
INPUT COORDINATES AND WIDTH IN FEET: 
AND THEY WILL BE CONVERTED TO INCHES 
LOCAL ORIGIN 
XO = 
? 300 USER 

YO = 
? 400 USER 

ZO = 






33 



? -1089 USER 

BLOCK WIDTH ALONG THE LOCAL X AXIS= 
? 20 USER 

BLOCK WIDTH ALONG THE LOCAL Y AXIS= 
? 20 USER 

NUMBER OF BLOCKS IN LOCAL X DIRECTION= 
? 10 USER 

NUMBER OF BLOCKS IN LOCAL Y DIRECTION= 
? 1 USER 

OFFSEAM GRID DETAILS FOR PLANE NO: 1 
XO = 300. 
YO = 400. 
ZO = -1089. 

X-AXIS BLOCK WIDTH: 20. 
Y-AXIS BLOCK WIDTH: 20. 
X-AXIS NUM OF BLOCKS: 10. 
Y-AXIS NUM OF BLOCKS: 1. 
IS THIS OK(Y/N) 
? Y USER 

CARD TYPE 15A 

INPUT PLANE ORIENTATION 
SPECIFY STRIKE, DIP AND OFFSET ANGLE 
STRIKE ANGLE IS IN DEGREES COUNTERCLOCKWISE FROM 
GLOBAL Y 

(COUNTERCLOCKWISE IS MEASURED LOOKING DOWN FROM THE 
SURFACE 

WHAT IS THE STRIKE ANGLE 

? USER 

POSITIVE DIP IS TOWARD THE ROTATED X DIRECTION 
WHAT IS THE ANGLE OF DIP 
? USER 

IN THE PLANE OF THE SEAM, THE OFFSET ANGLE 
IS MEASURED COUNTERCLOCKWISE FROM THE DIP DIRECTION. 
TO THE ENTRY LINE ( THE LOCAL X-AXIS OF YOUR MESH 
WHAT IS THE OFFSET ANGLE? 

? USER 

ANGLES ENTERED ARE: 
STRIKE: 0. 
DIP: 0. 
OFFSET: 0. 
IS THIS OK(Y/N) 
? Y USER 

THE MESH GENERATOR WILL NOW DISPLAY THE FINE MESH AREA ON THE 
SCREEN AND ALLOW THE USER TO INSERT IN EACH ELEMENT THE APPROPRIATE 
MATERIAL PROPERTY CODE. THE USER IS FIRST PROMPTED FOR THE DEFAULT 
MATERIAL PROPERTY CODE WHICH WILL FILL THE FINE MESH AREA. 
THE FINE MESH AREA WILL BE MODELED FIRST 
FOLLOWED BY THE COARSE MESH AREA 
ENTER THE DEFAULT PROPERTY FOR SEAM 1 



34 



? A USER 

1 = OPENING 

2 = RIGID; 

A-Z = MATERIALS; 
ENTER LETTER 
OR NUMBER 
TO SUBSTITUTE 
? 1 USER 

MOVE CURSOR TO 
THE TWO OPPOSITE 
CORNERS OF THE 
ZONE TO CHANGE 
ENTER "X"<RETURN> 
AT EACH CORNER 
ENTER "E"<RETURN> 
WHEN DONE 
IF USING A 4054 
TERMINAL, DO NOT 
PRESS <RETURN> AFTER 
ENTERING "X" OR "E" 

THE USER WILL NOW CHANGE THE MODEL BY USING THE GRAPHIC INPUT 
CURSOR AS PER THE ABOVE INSTRUCTIONS. WHEN THE USER ENTERS AN 
"E" INDICATING THAT THE CHANGES ARE COMPLETED, THE PROGRAM WILL 
PROMPT AS FOLLOWS: 
CHANGES (Y/N) 
? N USER 

DO YOU WANT 
A HARD COPY(Y/N) 
? N USER 

THE SAME PROCEDURE IS FOLLOWED IN MODELING THE COARSE 

MESH AREA AND THEN IN MODELING THE EXTRACTION RATIOS FOR 

THE COARSE MESH BLOCKS. 

WHEN THE ENTIRE SEAM HAS BEEN MODELED, THE PROGRAM WILL 

PROMPT THE USER AGAIN. 

IF SEAM 1 

IS NOT O.K. 

YOU MAY REMODEL 

THE ENTIRE MESH 

FOR THIS SEAM. 

IS SEAM 1 O.K. (Y/N) 
? Y USER 

SEAM 2 WILL BE MODELED IN THE SAME MANNER AS SEAM 1. 

THE USER WILL BE PROMPTED AS TO WHETHER SEAM 2 IS 

ALLRIGHT. IF NOT THEN SEAM 2 WILL BE COMPLETELY 

REMODELED AGAIN. 
ENTER FILE NAME (FOR FILE TO BE CREATED) 
? SAMPLE USER 

. . .NOW WRITING CONTROL CARDS 
...NOW WRITING MATERIAL CODES FOR SEAM 1 



35 



..NOW WRITING MATERIAL CODES FOR SEAM 2 
..NOW WRITING STATUS CODES FOR SEAM 1 
..NOW WRITING STATUS CODES FOR SEAM 2 
. .NOW WRITING COARSE MESH MATERIAL CODES FOR SEAM 1 
..NOW WRITING COARSE MESH MATERIAL CODES FOR SEAM 2 
..NOW WRITING COARSE MESH EXTRACTION CODES FOR SEAM 1 
. .NOW WRITING COARSE MESH EXTRACTION CODES FOR SEAM 2 
..NOW WRITING OFF-SEAM CONTROL CARDS 
WHAT DO YOU WANT TO DO NOW 

TYPE TO END THIS PROGRAM NOW 

TYPE 1 TO GENERATE A DATA FILE 

USER 

READY 



END OF SAMPLE TERMINAL SESSION 



- LISTING OF PROCEDURE FILE PRGENM 



.PROC,PRGENM*I. 

CLEAR(*, PRGENM) 

RFL, 77000. 

GET , BGNMLBM/UN=BM000 1L. 

ATTACH, PLOT 10/UN=GRAFLIB. 

LDSET,LIB=PLOT10. 

BGNMLBM. 

REVERT,NOLIST. 



36 



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238 



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241 



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242 



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cMco<rmor-ooc^O'— •cMco<rin\or^oooNO'— i n co ■* m \o s 



257 



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258 



2 

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(l) ON S N H 

tij •— i cm ro <r 

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^HCMco<fmvor^.oo<T\0-^cMco<rinvor>-oo 



259 









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o\o>-iNfn<fi^^ONoooo^N(n>}invoi^oo3vo-ifgn<tinvDscooNO'-iNfn<t 



260 























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264 



APPENDIX E. --SAMPLE PROBLEM INPUT 

This is the file generated by the sample session of appendix B. 

MULSIM/BM SAMPLE PROBLEM — THIS IS LINE ONE OF THE FILE 

.150000 .400000E+06 2 
2 

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. 5000000000E+04 . 1786000000E+04 .00E+00 .00E+00 .00E+00 .00E+00 1 
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265 



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266 



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267 



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268 



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APPENDIX G.— ADAPTATION OF PROGRAM CODE TO OTHER COMPUTERS 

The most complex changes to the MULSIM/BM code for implementation on 
any other computer system would involve the replacement of the CDC mass 
storage routines (OPENMS, READMS, WRITMS , CLOSMS) with the equivalent 10 
routines on the user's computer. 

Because the CDC Cyber allows up to 10 characters per computer word, 
any manipulations involving the packing of material property codes 
and mining status codes would have to be looked at closely and possibly 
reprogrammed. 

The definition of the array MKOD to a character variable type of 
length 10 would be the easiest way to take care of the 10 characters per 
word code. 

The CDC format editing character for literals is "*". This would have 
to be changed to the ANSI standard of 



M t ii 



The CDC routine to get the elapsed CPU time (second) would have to be 
replaced with the equivalent routine on the user's computer. 

The following routines illustrate how to replace the Cyber mass stor- 
age routines: 

c============================================= _ ===================c 

C c 

C CLOSMS C 

C C 

SUBROUTINE CLOSMS(IUNIT) 
C 

C CLOSMS - SIMULATES CDC ROUTINE OF SAME NAME 
C 

C ARGUMENTS 

C IUNIT - FILE UNIT NUMBER OF FILE TO BE CLOSED 
C 

INTEGER IUNIT 
C 

CLOSE (UNIT=IUNIT) 

RETURN 

END 



294 



c c 

C OPENMS C 

C C 

SUBROUTINE OPENMS(IUNIT, INDEXF ,MXREC, IKTYP) 
C 

C OPENMS - SIMULATES CDC ROUTINE OF SAME NAME 
C WITH SOME RESTRICTIONS 

C ARGUMENTS 

C IUNIT - FILE UNIT TO BE OPENED 
C INDEXF - FILE INDEX ARRAY(NOT USED) 

C MXREC - MAX. NO. OF RECORDS TO BE WRITTEN TO FILE 
C (NOT USED) 

C IKTYP - INDEX TYPE FLAG(NOT USED) 
C 

C RESTRICTIONS - 

C 1. IF UNIT NOS. ARE THOSE DEFINED FOR RE ST ART, HI STORY 
C OR GEOMETRY FILES - FILENAME IS SET UP ACCORDINGLY 

C 2. IF UNIT NO. IS NOT DEFINED AS IN 1. THEN A UNIQUE 
C FILENAME IS GIVEN AS RANF$$%% WHERE $$ AND %% ARE 

C CHOSEN AS FOLLOWS 

C $$ IS A CHARACTER BETWEEN A - Z , AND 

C %% IS THE VALUE IUNIT SUCH THAT A UNIQUE FILENAME 

C IS PRODUCED 

C 3. THE RECORD LENGTH IN BYTES NNREC IS DEFINED 
C ACCORDINGLY 

C 

INTEGER IUNIT, I NDEXF(l), MXREC, IKTYP 
C 

CHARACTER*20 RSTFIL,HSTFIL,GEOFIL 

COMMON/RFILEC/ RSTFIL,HSTFIL,GEOFIL 

INTEGER NRCRST , NRCHST , NRCGEO , NRCFIL , NBYTRL , NBYTIN 

COMMON/RF ILEI/ NRCRST , NRCHST , NRCGEO , NRCFIL , NBYTRL , NBYTIN 
C 

C LOCAL VARIABLES 
C 

CHARACTER*20 FILNAM 

CHARACTERS CHAR(26) ,ICHN(2) , ICH 

LOGICAL IEXIST 

INTEGER I,J,INO(2),IDIG,IDIV,NUM,IPOS,NNREC 
C 

C INITIALIZE VARIABLES 
C 

data char/' a', 'b ' , 'c ' , 'd ' , 'e ' , *f ' , 'g » , 'h' , 'i • , ' j' , 'k' , ? l' , »m' 
i/nvovpvqvrvsvtvuvvvwvxvyvzV 

FILNAM = ' ' 
C 
C CHECK FOR UNALLOWABLE FILE UNIT 



295 



IF (IUNIT.LT.0.OR.IUNIT.GT.99) GO TO 10430 
C 

C FOR ANY OTHER VALUES OPEN FILE WITH A UNIQUE NAME 
C TRANSFORM TWO DIGIT NO. TO CHARACTERS 
C 

IDIG = 1 

IDIV = IUNIT/10 

IF (IDIV.EQ.O) THEN 

INO(l) = IUNIT 
ELSE 

INO(l) = IDIV 
INO(2) = IUNIT-10*IDIV 
IDIG = 2 
ENDIF 
C 

DO 1011, J = 1,IDIG 
NUM = INO(J) 
WRITE(ICH, '(II) ')NUM 
ICHN(J) = ICH 
1011 CONTINUE 
C 

DO 1032, I = 1,26 

FILNAM(1:4) = 'RANF' 
FILNAM(5:5) = CHAR(I) 
C 

C INSERT NUMERIC PART TO FILENAME 
C 



1021 
C 
C 
C 


IPOS = 5 

DO 1021, J = 1,IDIG 

IPOS = IPOS + 1 

FILNAM( IPOS: IPOS) = ICHN(J) 
CONTINUE 


DOES FILENAME ALREADY EXIST 



INQUIRE (FILE=FILNAM,EXIST=IEXIST) 

IF (IEXIST) GOTO 1032 
C 

NNREC = NRCFIL 

IF (NNREC. LE.O) GOTO 10430 

GOTO 10510 
1032 CONTINUE 
C 

10510 CONTINUE 
C 

C CONVERT RECORD LENGTH TO BYTES 
C 

NNREC = NNREC*NBYTRL 



296 



OPEN (UNIT=IUNIT , FILE=FILNAM , STATUS= 'UNKNOWN ' , ACCESS= 'DIRECT ' 
1 ,FORM=' UNFORMATTED' ,RECL=NNREC,ERR=10430) 
C 
10430 CONTINUE 

WRITE(6,80110)IUNIT,NNREC 

STOP 
C 

80110 FORMAT( IX, 'SUBROUTINE OPENMS - CANNOT OPEN FILE'/ 
11X, 'FILE UNIT NO. =' ,15, ' REC. LENGTH= ' ,15/) 

END 

C C 

C READMS C 

C C 

SUBROUTINE READMS (IUNIT,ARR, NOW, JREC) 
C 

C READMS - SIMULATES CDC ROUTINE OF SAME NAME 
C 

C ARGUMENTS 

C IUNIT - OUTPUT FILE UNIT 
C ARR - ARRAY TO BE READ 
C NOW - NUMBER OF ITEMS OF 'A' TO READ 
C JREC - RECORD NUMBER 
C 

INTEGER IUNIT, NOW, JREC 

REAL ARR(NOW) 
C 

INTEGER MSTORT 

COMMON/CDCDAT/LARRTP 

INTEGER LARRTP 

PARAMETER (MSTORT=1000) 

COMMON/TMSTOR/XTRRW(MSTORT ) , NTRRW(MSTORT ) 

DOUBLE PRECISION XTRRW 

INTEGER NTRRW 
C 

C LOCAL VARIABLES 
C 

INTEGER NOV, I 
C 

C SET UP NO. OF VARIABLES TO BE TRANSFERRED FOR REALS OR INTEGERS 
C ** ASSUME 2 INTEGERS = 1 REAL ** 
C LARRTP .EQ. - FOR AN INTEGER ARRAY 
C LARRTP .NE. - FOR A REAL ARRAY 
C 

NOV = NOW 

IF ( LARRTP .EQ. 0) NOV = (NOW+l)/2 

READ (IUNIT, REC=JREC)(ARR(I), 1=1, NOV) 
C 

RETURN 

END 



297 



C C 

C WRITMS C 

C C 

SUBROUTINE WRITMS ( IUNIT , ARR , NOW , JREC ) 
C 

C WRITMS - SIMULATES CDC ROUTINE OF SAME NAME 
C 

C ARGUMENTS 

C IUNIT - OUTPUT FILE UNIT 

C ARR - ARRAY OF VARIABLES TO BE WRITTEN 
C NOW - NUMBER OF VARIABLES TO BE WRITTEN 
C JREC - RECORD NUMBER 
C 

INTEGER IUNIT, NOW, JREC 

REAL ARR(NOW) 
C 

INTEGER MSTORT 

COMMON/CDCDAT/LARRTP 

INTEGER LARRTP 

PARAMETER (MSTORT=1000) 

COMMON/TMSTOR/XTRRW(MSTORT ) , NTRRW(MSTORT ) 

DOUBLE PRECISION XTRRW 

INTEGER NTRRW 
C 

C LOCAL VARIABLES 
C 

INTEGER NOV, I 
C 

C SET UP NO. OF VARIABLES TO BE TRANSFERRED FOR REALS OR INTEGERS 
C ** ASSUME 2 INTEGERS = 1 REAL ** 
C LARRTP .EQ. - FOR AN INTEGER ARRAY 
C LARRTP .NE. - FOR A REAL ARRAY 
C 

NOV = NOW 

IF (LARRTP .EQ. 0) NOV = (NOW+l)/2 

WRITE(IUNIT,REC=JREC)(ARR(I),I=l,NOW) 
C 

RETURN 

END 



298 



APPENDIX H. — CYBER JOB CONTROL STREAM TO RUN MOLSIM/BM 



A CDC Cyber procedure file has been written that allows the user to 
respond to questions about the input files and output files necessary to 
submit a MULSIM/BM job to the computer. 

A sample session using the procedure file follows. The listing of the 
procedure file itself is included after the sample session. 

SAMPLE SESSION 



READY 

GET,PRSUBM/UN=BM0001L 

-,PRSUBM 

ENTER PRIORTY JOB PRIORITY( 1 , 3, 5) ? 5 

THE JOB PRIORITY ON THE CDC CYBER IS DEFINED AS FOLLOWS: 
1 = DAYTIME PROCESSING AT 10 TIMES 

THE COST OF WEEKEND PROCESSING. 
3 OVERNIGHT PROCESSING AT 2.5 TIMES 

THE COST OF WEEKEND PROCESSING. 
5 = WEEKEND PROCESSING. 

ENTER USRNAM USER NAME ? USER1 

ENTER USREXT USER EXTENSION ? 1234 

ENTER DISCFIL DISPLACEMENTS FILE NAME ? DFILE 

ENTER COFFSFL COEFFICIENTS FILE NAME ? CFILE 

ENTER COFFSDF C0EFFICIENTS2 FILE NAME ? CFILE2 

ENTER MLSINPT MULSIM/BM INPUT FILE NAME ? MFILE 

ENTER SEAM10T SEAM 1 OUTPUT FILE NAME ? SFILE 

ENTER CSEAM10 SEAM 1 COARSE MESH OUTPUT FILE NAME ? CFILE 

ENTER TIMLIMT JOB TIME LIMIT ? 100 

ENTER PRTLIMT JOB PRINT FILE LIMIT ? 1000 

ENTER PRTNAME JOB PRINT OUTPUT FILE NAME ? OFILE 

ENTER DAYNAME JOB DAYFILE FILE NAME ? DFILE 

ENTER JOBDISP JOB OUTPUT DISPOSITION^, B ,E ,T0) ? N 



14.33.30. SUBMIT COMPLETE. JSN IS AKVZ. 



^ 



299 



After the submit message is displayed, the user may monitor the job 
execution by entering "ENQ,UJN". The operating system will respond with 
the status of all jobs submitted by the user. 



LISTING OF PROCEDURE FILE PRSUBM 



.PROC,PRSUBM*I, 

PRIORTY" JOB PRIORITY(l,3,5)"=(l,3,5), 

USRNAME" USER NAME", 

USREXTN" USER EXTENSION", 

DISCFIL" DISPLACEMENTS FILE NAME"=(*F), 

COFFSFL" COEFFICIENTS FILE NAME"=(*F), 

COFFSDF" C0EFFICIENTS2 FILE NAME"=(*F), 

MLSINPT" MULSIM/BM INPUT FILE NAME"=(*F), 

SEAM10T" SEAM 1 OUTPUT FILE NAME"=(*F), 

CSEAM10" SEAM 1 COARSE MESH OUTPUT FILE NAME"=(*F), 

TIMLIMT" JOB TIME LIMIT", 

PRTLIMT" JOB PRINT FILE LIMIT", 

PRTNAME" JOB PRINT OUTPUT FILE NAME"=(*F), 

DAYNAME" JOB DAYFILE FILE NAME"=(*F), 

JOBDISP" JOB OUTPUT DISPOSITION^, B,E ,TO)"=(N,B ,E,TO). 

IF,. NOT. NUM (TIMLIMT), PASS. 

REVERT. TIME LIMIT NOT NUMERIC. 

ENDIF,PASS. 

IF, .NOT. NUM (PRTLIMT) ,PASS2. 

REVERT. PRINT LIMIT NOT NUMERIC. 

ENDIF.PASS2. 

SUBMIT , FILE , JOBDISP. 

.DATA, FILE 

/JOB 

MULSI,T3600,P=PRIORTY. 

/USER 

CHARGE,*. 

HEADING. $1MINES-DRC 

HEADING. $ USRNAME 

HEADING. $ USREXTN 

GET,BMLBM. 

GET,INPUT=MLSINPT. 

PURGE, SEAMIOT/NA. 

RETURN, SE AMI. 

DEFINE , SEAM1=SEAM10T. 

PURGE, CSEAMIO/NA. 

RETURN, CSEAM1. 

DEFINE , CSEAM1=CSEAM10. 

SETTL(TIMLIMT) 



300 



BMLBM(PL=PRTLIMT). 

SKIP.L40. 

EXIT. 

ENDIF,L40. 

REPLACE ,DISC=DISCFIL. 

SKIP,L41. 

EXIT. 

PURGE, DISCFIL/NA. 

DEFINE, DISCFIL. 

REWIND, DISC. 

COPYEI, DISC, DISCFIL. 

ENDIF,L41. 

REPLACE , C0FFS=C0FFSFL. 

SKIP,L42. 

EXIT. 

PURGE, COFFSFL/NA. 

DEFINE, COFFSFL. 

REWIND, COFFS. 

COPYEI, COFFS, COFFSFL. 

ENDIF,L42. 

REPLACE , COFFSD=COFFSDF , 

SKIP,L50. 

EXIT. 

PURGE, COFFSDF/NA. 

DEFINE, COFFSDF. 

REWIND, COFFSD. 

COPYEI , COFFSD, COFFSDF . 

SKIP,L50. 

EXIT. 

ENDIF,L50. 

PURGE, PRTNAME/NA. 

DEFINE, PRTNAME. 

REWIND, OUTPUT. 

SKIPR, OUTPUT, 4. 

COPYEI , OUTPUT , PRTNAME . 

RETURN, PRTNAME. 

SKIP,L60. 

EXIT. 

ENDIF,L60. 

DAYFILE,DAYNAME. 

REPLACE,DAYNAME. 

/EOF 

REVERT, NOLIST. 



301 



APPENDIX I. —ENGINEERING SYMBOLS USED IN THIS REPORT 
2 

A element area, in 

C element closure, in 

c initial gob-zone closure, in 

Eg secant elastic gob modulus (linear modulus), psi 

Em modulus of deformation, GPa 

F normal force acting on an element, lb 

g gob-zone height, in 

■ 

h element height, in 

k ' gob material parameter, psi 

M linear elastic gob modulus (input to program), psi 

m extracted seam height, in 

P equilibrium point 

p gob resistance, psi 

S area stiffness (stiffness per unit area), lb/in 

Sg area stiffness of gob, lb/in 

t seam thickness (input to program), in 

e strain, in/in 

£q strain sustained by gob, in/in 

£max maximum possible gob strain, in/in 

Eo equilibrium gob strain (at virgin overburden normal stress), in/in 



302 



o stress, psi 

Og stress sustained by gob (linear equation), psi 

' ] 

o"nl stress sustained by gob (nonlinear equation), psi 

o virgin overburden normal stress, psi 

a i j stress acting in the positive Xj direction on a plane whose outward 
normal points in the negative X] direction 

to gob zone convergence, main roof to floor, in 

y l displacement in the positive X[ direction 

Xj global axis in the i-direction 

Xy local axis, or rotated axis, in the i-direction 

X Xi or XJ, as appropriate 

Y X2 or XJ, as appropriate 

Z X3 (depth below surface; numerically negative) 



C 3£ 5 

U.S. GOVERNMENT PRINTING OFFICE: 1988 - 505016/80,007 INT.-BU.0F Ml NES,PGH. ,PA. 28612 



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